problems. Essential Question: How can I use formulas to find the **perimeter** **and** **area** **of** simple geometric **figures**? Vocabulary: Polygon: a closed **plane** **figure** bounded by three or more line segments. Quadrilateral: any four sided polygon. Parallelogram: a quadrilateral whose opposite sides are parallel. Square: a four sided polygon characterized by four right angles **and** four sides **of** equal length. Rectangle: a four sided polygon characterized by four right/

sides, nine sides, **and** any number **of** sides! The **perimeter** **of** a **figure** is the distance around the outside. What is the **perimeter** **of** each **of** these polygons? 12 in. 6 in. P =36 in. 8 units 11 units 9 units 18 ft. 16 ft. 10 m. 5 m. 4 m. 5 m. 15 m. P =37 units P =50 ft. P =39 m. The **area** **of** a flat surface/

similar, doesn’t mean they are automatically congruent. **Perimeter** **Perimeter** – the distance around the outside **of** a **figure**. Just add the length **of** all sides together to calculate the **perimeter**. Real world use **of** **perimeter** – building a fence. **Area** **Area** – the number **of** square units needed to cover the region inside a **figure**. Multiply the length x width to find the **area** **of** a **figure**. Real world use **of** **area** – flooring/carpet. Remember – use “square” in your/

**and** intersect at C. Postulate 1-3 If two **planes** intersect, then they intersect in exactly one line. R W S T **Plane** RST **and** **plane** STW intersect at a.What is the intersection **of** **plane** HGFE **and** **plane** BCGF? b.Name two **planes** that intersect at H E G F AB CD F a. b. **Plane** ABF **and** **Plane**/Postulate 1-9 If two **figures** are, then their **areas** are equal. Postulate 1-10 The **area** **of** a region is the sum **of** the **areas** **of** its non-overlapping parts. 3 m 10 m 12 m 4 m 2 m Find the **Perimeter** **and** **Area** **of** the **figure**. Homework P 55 16/

d radius r C = 2πr A = πr 2 d r 1.7 Find **Perimeter**, Circumference, **and** **Area** Find the **area** **and** **perimeter** (or circumference) **of** the **figure**. If necessary, round to the nearest tenth. 1.7 Find **Perimeter**, Circumference, **and** **Area** The **area** **of** a triangle is 64 square meters, **and** its height is 16 meters. Find the length **of** its base. 52 #2-42 even, 46, 48-52 all = 27 total Extra Credit/

Example 3 10-3 Measurement: **Area** 10-3 Measurement: **Area** Lesson 3 MI/Vocab I will find the **area** **of** a **plane** **figure**. **area** 10-3 Measurement: **Area** Lesson 3 Standard 1 Standard 3MG1.2 Estimate or determine the **area** **and** volume **of** solid **figures** by covering them with squares or by counting the number **of** cubes that will fill them. Lesson 3 Ex1 10-3 Measurement: **Area** Find the **perimeter** **of** the rectangle. Answer: 40/

consecutive sides to be perpendicular. To show that the **figure** was not a square, we found that the lengths **of** consecutive sides were not congruent. **Perimeter** **and** **Area** on the Coordinate **Plane** Add to find the **perimeter**. We found that Since opposite sides are congruent, the lengths **of** Lesson 1 Ex3 Definition **of** **perimeter** **Perimeter** **and** **Area** on the Coordinate **Plane** Substitution Simplify radicals. Add like terms. **Perimeter** **of** Answer: Lesson 1 Ex3 C. The vertices/

**AREA** FORMULAS $30 1. **Area** **of** a Rectangle & Square 2. **Area** **of** a Parallelogram & Triangle 3. **Area** **of** a Trapezoid 4. **Area** **of** a Circle Discovery WS 5. **Area** **of** Irregular **Figures** 6. **Area** **of** Composite **Figures** 7. **Perimeter** & **Area** Review DECIMALS $30 1. Rounding Decimals 2. Add **and**/.com **PERIMETER** & CIRCUMFERENCE $15 1. **Perimeter** **of** Polygons 2. Circumference **of** a Circle Discovery WS 3. Circumference **of** a Circle Review 4. **Perimeter** & **Area** Review POINTS, LINES, **PLANES** & ANGLES $20 1. Points, Lines & **Planes** 2./

Express Mathematics Chapter 14: **Perimeter** **and** **Area** **of** **Plane** **Figures** Sec 1 Express Mathematics ICT Lesson Outline 14.1: Revision on **area** **of** triangles, rectangles, squares, circles. **Perimeter** & **Area** **of** Parallelogram 14.2: **Perimeter** & **Area** **of** Trapezium 14.3: **Perimeter** & **Area** **of** Parallelogram Sec 1 Express Mathematics 14.2 Introduction to Trapeziums A trapezium is a 4-sided flat shape with straight sides a pair **of** opposite sides parallel Sec 1 Express Mathematics **Area** **of** trapezium Watch this video: https/

4 Substitute. Simplify. **Area** **of** Triangle 2 Example 4 Find the **area** **of** the rectangle. **Area** **of** a rectangle Substitute. Simplify. The **area** **of** pentagon ABCDE is 9 + 2.5 + 30 or 41.5 square units. Answer: The **perimeter** is about 25 units **and** the **area** is 41.5 sq. units. What does the **area** **of** a **figure** measure? The number **of** square units contained in a **plane** region. What does the **perimeter** **of** a **figure** measure? The distance/

Polygon: **Plane** **figure** that is/**perimeter** **and** **area** **of** the shaded **figure**. **Perimeter**: _____________ **Area**: __________________ 1. Find the **perimeter** **and** **area** **of** the shaded **figure**. **Perimeter**: _____________ **Area**: __________________ 1. Find the **perimeter** **and** **area** **of** the shaded **figure**. **Perimeter**: _____________ **Area**: __________________ 1. Find the **perimeter** **and** **area** **of** the shaded **figure**. **Perimeter**: _____________ **Area**: __________________ 2. Find the **perimeter** **and** **area** **of** the shaded **figure**. **Perimeter**: _____________ **Area**/

much tile it would take to cover a floor, the tiles are like square units, **and** when you come to edges, **and** corners, there are portions **of** units. Look! If this coordinate **plane** is made **of** one inch units, what is the **perimeter** **of** **figure** ABCD? What is the **perimeter** **of** triangle PRQ? Find the **area** **of** each by counting squares, make your best guess with the partial square units in the/

involving **perimeter**/ circumference **and** **area** **of** **plane** **figures** **Area** is the amount **of** surface space that a flat object has. **Area** is reported in the amount **of** square units. When you measure the amount **of** carpet to cover the floor **of** a room, you measure it in square units. Would the **area** **of** your bedroom or the **area** **of** your house be greater? You’re right! The **area** **of** your house is greater than the **area** **of** your bedroom. **Area** = 15/

+ c. 9.4 – **Perimeter**, **Area**, **and** Circumference **Perimeter** **of** a Rectangle w l The **perimeter** P **of** a rectangle with length l **and** width w is given by the formula: P = 2l + 2w or P = 2(l + w). s **Perimeter** **of** a Square s The **perimeter** P **of** a square with all sides **of** length s is given by the formula: P = 4s. 9.4 – **Perimeter**, **Area**, **and** Circumference **Area** **of** a Polygon The amount **of** **plane** surface covered by/

line segment drawn from a vertex perpendicular to the opposite side (base). b h **Area** **of** a triangle: Find the **perimeter** **and** **area** **of** the triangle shown below (all numbers are approximate). 6.5 cm 1.3 cm 2.2 cm 4.8 cm Find the **perimeter** **and** **area** (to 2 s. d Find the **perimeter** **and** **area** (to 2 s.d.) **of** an isosceles triangle whose two equal sides measure 35 mm/

. Surface **area** is the total **area** **of** all faces **and** curved surfaces **of** a three-dimensional **figure**. The lateral **area** **of** a prism is the sum **of** the **areas** **of** the lateral faces. The net **of** a right prism can be drawn so that the lateral faces form a rectangle with the same height as the prism. The base **of** the rectangle is equal to the **perimeter** **of** the base **of** the prism. The surface **area** **of** a/

labeling everything. The Plan? 37. The **figure** below consists **of** a square **and** 2 semicircles, with dimensions as shown. What is the outside **perimeter**, in centimeters, **of** the **figure**? Outline what you’re looking for, labeling/**figure** below, points E **and** F are the midpoints **of** sides AD **and** BC **of** rectangle ABCD, point G is the intersection **of** AF **and** BE , **and** point H is the intersection **of** CE **and** DF. The interior **of** ABCD except for the interior **of** EGFH is shaded. What is the ratio **of** the **area** **of** EGFH to the **area** **of**/

walk the **perimeter** **of** his triangular backyard. He walked 26.2 feet north **and** 19.5 feet west **and** back to his starting point. What is the **area** **of** Daniels backyard? **Area** **of** Irregular **Figures** Return to Table **of** Contents **Area** **of** Irregular **Figures** Method #1 1. Divide the **figure** into smaller **figures** (that you know how to find the **area** **of**) 2. Label each small **figure** **and** label the new lengths **and** widths **of** each shape 3. Find the **area** **of** each/

10.5 **Perimeter** **and** **Area** on the Coordinate **Plane** p 549 CCSS 7. Use coordinates to compute **perimeters** **of** polygons **and** **areas** **of** triangles **and** rectangles, e.g., using the distance formula.★ Essential Question How do you find the **perimeter** **and** **area** **of** polygons in the coordinate **plane**? Warm up What is the definition **of** **perimeter**? Write down the distance formula. Explore: Finding **Perimeters** **of** **Figures** on the Coordinate **Plane** Follow these steps to find the **perimeter** **of** a pentagon with vertices A ( - 1/

**Perimeter** **and** **Area** Please view this tutorial **and** answer the follow-up questions on loose leaf to turn in to your teacher. Definitions **Perimeter**: The distance around the outside **of** a **plane** shape Circumference: The distance around the outside **of** a circle **Area**: The amount **of** space taken up by a **plane** shape **Perimeter** 12 ft When you are finding the **perimeter** **of** a **plane** shape, you must add up the lengths **of** each side **of** the shape/

color in the shaded region. What is the approximate **area** **of** the shaded region? A90 cm 2 B270 cm 2 C314 cm 2 D1,256 cm 2 Correct Answer - C Spring 2003 #25 Cassie draws the following 4 **figures**. Which two **figures** have the same **area**? AFigure I **and** **Figure** II BFigure I **and** **Figure** III CFigure II **and** **Figure** III DFigure II **and** **Figure** IV Correct Answer - B Spring 2003 #33 Objective/

lesson, the distance formula will be applied to **perimeter** **and** **area** problems. A polygon is a two-dimensional **figure** formed by three or more segments. We will use the distance formula to find the **perimeter**, or the sum **of** the lengths **of** all the sides **of** a polygon, **and** the **area**, the number **of** square units inside **of** a polygon, such as finding the amount **of** carpeting needed for a room. Be sure/

**AND** DEFINITIONS Percent **of** the Field **of** View 92.0843 The specific part **of** interest **of** the minimum required field **of** view **of** a magnification device. Perforated (Pierced) Solder Terminal 37.1469 A flat‑metal solder terminal with an opening through which one or more wires are placed prior to soldering. (See **Figure** P-1.) **Figure** P-1 Perforated (pierced) solder terminal **Perimeter** Sealing **Area** 30.0844 The surface on the **perimeter** **of**/

1-7 **Perimeter**, **Area**, Circumference SPI 21B: solve equations to find length, width, **perimeter** **and** **area** SPI 32L: determine the **area** **of** indicated regions involving **figures** SPI 41A: determine the **perimeter** & **area** **of** 3 or 4 sided **plane** **figures** Objectives: find **perimeter** **and** **area** **of** rectangles **and** squares find circumference **and** **area** **of** circles **Perimeter**: the sum **of** the lengths **of** the sides **of** a polygon fence around a garden Circumference: the distance around the outside **of** a circle **Area**: number **of** units (squared/

involving unequal sharing **and** grouping using knowledge **of** fractions **and** multiples HA objectives -Derive **and** apply formulae to calculate **and** solve problems involving: **perimeter** **and** **area** **of** triangles, parallelograms, trapezia, volume **of** cuboids (including cubes) **and** other prisms (including cylinders) -Calculate **and** solve problems involving: **perimeters** **of** 2-D shapes (including circles), **areas** **of** circles **and** composite shapes -Draw **and** measure line segments **and** angles in geometric **figures**, including interpreting/

.4 **Area** The **area** **of** a **plane** **figure** is the measure **of** the surface covered by the **figure**. 9.4 **Perimeter** **of** a Triangle Triangle with sides **of** length a, b, **and** c has P = a + b + c 9.4 **Area** **of** Triangle Triangle with base b **and** height h A = ½ bh 9.4 **Perimeter** **and** **Area** **of** Rectangle Rectangle with length l **and** width w has P = 2l + 2w = 2(l + w) A = lw 9.3 **Perimeter** **and** **Area** **of** Square If/

rights reserved 1.5 Multiplying Whole Numbers **and** **Area** Martin-Gay, Prealgebra, 6ed 41 Copyright /**Area** **of** a rectangle = length width = (5 inches)(3 inches) = (5 inches)(3 inches) = 15 square inches = 15 square inches Martin-Gay, Prealgebra, 6ed 48 Copyright © 2011 Pearson Education, Inc. Publishing as Prentice Hall. Remember that (distance around a **plane** **figure**) is measured in units. **Area** (space enclosed by a **plane** **figure**) is measured in square units. Remember that **perimeter** (distance around a **plane** **figure**/

tape is the circle. Answer: The correct answer is B. Largest **Area** Packet 3, 6, 7, 10, 13 Example 4 **Perimeter** **and** **Area** on the Coordinate **Plane** Find the **perimeter** **and** **area** **of** a pentagon ABCDE with A(0, 4), B(4, 0), C(3, –4), D(–3, –4), **and** E(–3, 1). Example 4 **Perimeter** **and** **Area** on the Coordinate **Plane** Step 1 By counting squares on the grid, we find that CD/

**perimeter** **of** a rectangle if the length is 7 **and** width is 4? 28 **Area** Square A=S 2 Square- A rectangle having all four sides **of** equal length. Rectangle A=lw or A=bh Rectangle- A parallelogram having four right angles. Word Problem What is the **area** **of** a square if one **of**/ the sides is six? What is the **area** **of** the rectangle if the length is six **and** other four? 36 24 **Area** Triangle 1 / 2 bh or bh / 2 Triangle-a closed **plane** **figure** having three sides **and** three angles. Trapezoid/

coordinate **plane** Instruction: Students will learn the distance formula **and** midpoint formula. Students will work in small groups to measure distances **and** use knowledge **of** distance **and** midpoint to construct **figures**. Assessment: #34-38, pg. 73 Classroom Instruction Day 9 1-9 **Perimeter**, Circumference, **and** **Area** (pg. 61-70) Objective: To find **perimeters** **of** rectangles **and** squares, **and** circumferences **of** circles; to find **areas** **of** rectangles, squares, **and** circles Instruction: Students will learn **perimeter** **and** **area**/

to find the **area** **of** **plane** **figures**. Enrich : You can utilize “Fill ‘Er Up” located on the GCG under Lesson Ideas. Students find the **area** **of** large spaces using at least two different units. During the Extension activity on the lesson “Changing **Areas**” students will build two color tile shapes, one with a **perimeter** **of** 20 units **and** having the least possible **area** **and** the other with the same **perimeter** **and** having the greatest/

**area** **of** solid **figures** (right rectangular prisms **and** cylinders). c. Estimate the surface **areas** **of** simple geometric solids. M6M4. Students will determine the surface **area** **of** solid **figures** (right rectangular prisms **and** cylinders). d. Solve application problems involving surface **area** **of** right rectangular prisms **and** cylinders. M6G1. Students will further develop their understanding **of** **plane** **figures**. a. Determine **and** use lines **of** symmetry. M6G1. Students will further develop their understanding **of** **plane** **figures**/

**perimeter** **of** the triangle? **Area** **of** a rectangle A = bh = 4x2 = 8in 2 Do you remember the formula? What is the **perimeter** **of** the rectangle? **Area** **of** a square A = bh = 3x3 = 9in 2 Do you remember the formula? What is the **perimeter** **of** the square? **Area** **of** a parallelogram 7 cm **Area** = bh = (7)(4) = 28 cm 2 **Perimeter**/75.36 inches Think about it… What is **area**? –**Area**: The measure **of** the region that is inside a closed **plane** **figure**. You Try 3. A package containing a swivel stake **and** a 10-foot dog chain claims that it /

& mi, ¼ in, ½ in, mm (ft, yd, cm, m),estimate length, compare units M3M3 (a-c) measure the **perimeter** **of** geometric **figures**, linear unit & measurement, length **of** boundary, measure & summing sides M3M4 (a-c) measure the **area** **of** simple geometric **figures** (squares **and** rectangles), sq. unit & measurement in **area**, model (tile) **area** **of** simple geo. **Figure** using sq. units (in, ft, etc), M3A1. (a-c) use mathematical expressions to represent relationships between quantities/

method that uses formulas, similar **figures**, **and**/or proportions to measure an object. The following example shows one indirect measurement technique. 7-5 Using Proportional Relationships Whenever dimensions are given in both feet **and** inches, you must convert them /. ∆ABC ~ ∆DEF. Find the **perimeter** **and** **area** **of** ∆ABC. P = 27 in., A = 31.5 in 2 Holt Geometry 7-6 Dilations **and** Similarity in the Coordinate **Plane** 7-6 Dilations **and** Similarity in the Coordinate **Plane** Holt Geometry Warm Up Warm Up Lesson Presentation/

a **plane** **figure**. Measured in ______________ units. **Perimeter**— __________________________________ around a **figure**. Composite **Figure**— complex **figure** made up **of** several smaller _________________________. SQUARE A = RECTANGLE A = TRIANGLE A= PARALLELOGRAM A = Math-8 NOTES DATE: ______/_______/_______ What: **Area** **of** composite (irregular) **figures** Why: To review the meaning **of** **Area** **and** **Perimeter** **and** begin calculating the **Area** **of** Composite (Irregualar **Figures**). What: **Area** **of** composite (irregular) **figures** Why/

will solve practical **area** **and** **perimeter** problems involving composite **plane** **figures**. Essential Questions How does knowing the **perimeter** **and**/or circumference **and** **areas** **of** polygons **and** circles assist in calculating the **perimeters** **and** **areas** **of** composite **figures**? The **perimeter** **of** a composite **figure** can be found by subdividing the **figure** into triangles, rectangles, squares, trapezoids **and**/or semicircles, **and** calculating the **perimeter** using the appropriate measurements. The **area** **of** a composite **figure** can be found/

= **Area** Lesson 5: **Perimeter** **and** **Area** **of** Parallelograms Find **Perimeter** **of** a Parallelogram Measure each side Find the length **of** each side **and** then add the four lengths. base + slant height + base + slant height = **Perimeter** Or (base + slant height) x 2 = **perimeter** Or (base x 2) + (slant height x 2) = **perimeter** base Slant height Find **area** **of** a Parallelogram Find the length **of** the base **and** the height. Base X Height = **Area** Lesson 6: **Perimeter** **and** **Area** **of** Complex **Figures** Online Fun **and**/

What is both? The motion **of** this **figure** DAILY DOUBLE The motion **of** this **figure** What is a flip? Two **figures** having the same shape **and** size What is congruent? To move a **figure** in one direction What is slide? Congruent, similar, or both What is similar? The distance around a **figure** What is **perimeter**? Number **of** square units needed to cover a **figure** What is **area**? **Area** **of** this **figure** 8 ft. 3 ft/

.1.7 Use technologies appropriately to develop understanding **of** abstract mathematical ideas, to facilitate problem solving, **and** to produce accurate **and** reliable models. CLE 3108.4.5 Extend the study **of** planar **figures** to three-dimensions, including the classical solid **figures**, **and** develop analysis through cross-sections. CLE 3108.4.6 Generate formulas for **perimeter**, **area**, **and** volume, including their use, dimensional analysis, **and** applications. CFU (Checks for Understanding) applied to/

be π R. Therefore the base **of** this **figure** is π R (the base uses half, **and** the top **of** the **figure** uses the other half **of** the circumference. The height **of** this **figure** is the radius, or R. Therefore, the **area** **of** this **figure** is base times height, or π R times R, or π R2 which is also the formula for the **area** **of** a circle R B (or π R) **Area** **of** a Circle Theorem –As demonstrated/

the **plane** **of** the base. regular pyramid nonregular pyramid Slant height Vertices Lateral faces Altitude Bases Next page: CONFIDENTIAL The lateral faces **of** a regular pyramid can be arranged to cover half **of** a rectangle with a height equal to the slant height **of** the pyramid. The width **of** the rectangle is equal to the base **perimeter** **of** the pyramid. s l P = 4s CONFIDENTIAL Lateral **and** surface **Area** **of** a/

**Perimeter**: the border or outside boundary **of** a two dimensional **figure** **Area**: the quantitative measure **of** a **plane** or curved surface; two-dimensional extent Reference: dictionary.com Calculating **Perimeter** **Perimeter** = 2 * Length + 2 * Width Example: P = 2(L) + 2(W) = 2(4) + 2(2) = 12 units 4 2 Calculating **Area** **Area** = Length * Width Example: A = L * W = 4 * 2 = 8 units squared 4 2 Example Problem Calculate the **perimeter** **and** **area** **of** the following **figure**/

To find an angle use a protractor, **figure** out the type **of** angle then solve, or use the insider/The **area** **of** a rectangle is 44 in², **and** the width **of** the rectangle is 3 more than twice its length. Find the length & width **of** the / make sense? **Perimeter**-**of** any object is the distance around the object. Length- the longest extent **of** anything as measured/x = 300 Fast **Plane** = 2x Fast **Plane** = 2(300) Fast **Plane** = 600 Slow **Plane** = x Slow **plane** = 300 Answer : Rate **of** slow **plane** is 300 mph. Rate **of** fast **plane** is 600 mph. /

Holt Geometry 1-5 Using Formulas in Geometry Apply formulas for **perimeter**, **area**, **and** circumference. Target Holt Geometry 1-5 Using Formulas in Geometry The **perimeter** P **of** a **plane** **figure** is the sum **of** the side lengths **of** the **figure**. The **area** A **of** a **plane** **figure** is the number **of** non-overlapping square units **of** a given size that exactly cover the **figure**. Holt Geometry 1-5 Using Formulas in Geometry Holt Geometry 1-5 Using/

Pattern3Pattern Pentagon Period **Perimeter** Perpendicular Place Value **Plane** Point Polygon /**and** one point on each ray or just by the vertex. Example: **Area** – the number **of** square units needed to cover a surface. (Note - **area** is measured in square units.) Rectangular **Area** = L x W (length times width) W L Note – the middle letter **of** the angle name must be the name **of**/**plane** **figure** with straight sides that is named by the number **of** its sides **and** angles. Example: 6 5 4 3 2 1 Pentagon – a polygon with five sides **and**/

Monday May 13 th On Friday, we classified **figures** on the coordinate **plane**. Today we will use those graphs to calculate **area** **and** **perimeter** **of** **figures**. For **area** we will leave out some **figures** because we are not going to find altitudes that are necessary for the calculations. How do you calculate **perimeter** for any **figure**? How do you do this on a coordinate **plane**? ◦ We will use the DISTANCE FORMULA to/

are supplementary. That is, they have a sum **of** 180 °. a **and** b b **and** c c **and** d d **and** a a b c d Adjacent Angles Martin-Gay/**Perimeter**/ Circumference **Area** Triangle Parallelogram Rectangle Square Trapezoid Circle C π d or 2π r A bh A lw A s2A s2 A πr 2A πr 2 **Plane** **Figures** Martin-Gay, Prealgebra & Introductory Algebra, 3ed 33 Copyright © 2011 Pearson Education, Inc. Publishing as Prentice Hall. Volume measures the number **of** cubic units that fill the space **of** a solid. The volume **of**/

**areas** **of** the two polygons are equal D The **perimeters** **of** the two polygons are equal. GLCE: G.TR.07.03 Understand that in similar polygons, corresponding angles are congruent **and** the ratios **of** corresponding sides are equal; understand the concepts **of** similar **figures** **and** /. Look at the coordinate grid below. A.RP.06.02 Plot ordered pairs **of** integers **and** use ordered pairs **of** integers to identify points in all four quadrants **of** the coordinate **plane**. (Core) DistrictState 21% 3% 74% 2% Which point appears to have/

Formulas in Geometry Objectives Students will be able to apply **perimeter**, **area**, **and** circumference formulas to solve problem. Holt McDougal Geometry 1-5 Using Formulas in Geometry The **perimeter** P **of** a **plane** **figure** is the sum **of** the side lengths **of** the **figure**. The **area** A **of** a **plane** **figure** is the number **of** non-overlapping square units **of** a given size that exactly cover the **figure**. Holt McDougal Geometry 1-5 Using Formulas in Geometry/

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