. 3 cm What is the perimeter **of** this **rectangle**? 16 cm. What is the perimeter **of** this **rectangle**? 16 If the perimeter **of** this **square** is 36 cm, what is the length **of** one side? 9 cm Think: What number times 4 = 36? What is the **area** **of** this **rectangle**? 36 **square** units We are baking cookies for a fundraiser. We bake 69 cookies **and** we will put 8 cookies on each/

**Area** **Area** is the amount **of** surface inside a closed boundary. **Area** tells the number **of** **square** units. This **rectangle**’s **area** is 6 **square** units. Think: **AREA**, SQUAREA ! **Area** **of** a **Rectangle** 3 inches 5 inches Multiply the length times the width. L x W = **AREA** 3” x 5” = 15 **square** inches The **area** **of** this **square** is 9 **square** units. **And**…. the **area** **of** this **rectangle** is 12 **square** units. You can find the **area** **of** your bedroom. Multiply the length x width. 9 feet/

**squared** (S 2 ) **Area** **of** a **Rectangle** 3” 4” 12 3 3 units 4 units 12 **square** units in the **rectangle** 3” or 3 units on top (width) 4” or 4 units on side (height) 3 x 4 = 12 45 6 78 9 1011 12 **Area** **of** a **Rectangle** Suppose a **rectangle** had a width (top) 5 cm **and** height (side) **of** 3 cm. What is the **area**? Suppose a **rectangle** had a width **of**/

the length. The **area** **of** the **rectangle** is 104 **square** feet. What is the width **and** length? 5. The length **of** a **rectangle** is one foot shorter than the width. The **area** **of** the **rectangle** is 110 **square** feet. What is the length? 6. The width **of** a **rectangle** is 7 feet longer than the length. The **area** **of** the **rectangle** is 18 **square** feet. What is the width **and** length? 7. The length **of** a **rectangle** is three feet/

. The **rectangle** is made **of** 6 rows **of** 8 **squares**. To work out the number **of** **squares** we times 6 by 8. What is the **area** **of** each **of** these shapes? Your teacher will give you copy **of** the worksheet. 20cm 2 18cm 2 14cm 2 30cm 2 22cm 2 We can work out the **area** **of** a **rectangle** without the grid. length width **Area** = length x width Now work out the **area** **of** these **rectangles**. They/

.mathsrevision.com **Area** Counting **Squares** NUM 18-Feb-16Created by Mr. Lafferty Maths Dept. Starter Questions www.mathsrevision.com Q2.Convert 23metres to (a) cm (b)mm Q1.What is the time difference 09:28 **and** 11:55 Q3.The answer to the question is 180. What is the question. NUM 18-Feb-16Created by Mr. Lafferty Maths Dept. **Area** **of** a **Rectangle** www.mathsrevision.com/

MASTERING THE TAKS Math EnrichmentAssessment #2 STEP 1: Find the **area** **of** the **rectangle** 5 x 9. 5 9 5 x 9 = 45 **square** ft STEP 2: Double one **of** the sides **and** find the **area** **of** the **rectangle**. I will double 5. 10 9 10 x 9 = 90 **square** ft 5 18 5 x 18 = 90 **square** ft It won’t matter which side you double. Take a look at doubling/

**of** a **square** **of** side 20cm? If the perimeter **of** **square** is 200cm. What is the length **of** one **of** the sides? What is the perimeter **of** an equilateral triangle **of** side 8.9cm? A regular heptagon has a side length **of** 26cm. What is it’s perimeter? A **rectangle** has a perimeter **of** 68cm/ shape. To find the **area** **of** this shape we have to split it up into two **rectangles**. 10cm 8cm 2cm 4cm **Area** = 4 x 10 40cm 2 **Area** = 4 x 8 32cm 2 Total **area** = 40 + 32 = 72 cm 2 Find the **area** **and** perimeter **of** each **of** these shapes? 9cm 5cm/

**area** do I cover? I am a **rectangle**, **and** my **area** is 80 **square** inches. My width is 2 inches shorter than my length. What is my perimeter? I am the fencing around a rectangular lion exhibit at a zoo. The lions have 1,000 **square** meters to roam inside a rectangular **area** / to unwind **and** make myself straight, how long would I be? I am a rectangular picture frame. If I were straight, I would be 120 inches long. I am wrapped around a picture, **and** my length is twice as long as my width. What is the **area** **of** the picture /

factor pairs relate to the dimensions **of** a **rectangle**? What are **square** numbers? What are factor pairs? A factor pair consists **of** two whole numbers that are multiplied to get a product. Ex: All **of** the factor pairs **of** 18 are: 1, 18 2, 9 3, 6 Factor Pairs **and** **Rectangles** Factor pairs **of** a number can be used to make **rectangles** with a given **area**. For example, if you have/

- Students will understand **and** use formulas to solve problems involving…**areas** **of** **rectangles** **and** **squares**. Use those formulas to find the **areas** **of** more complex figures by dividing the figures into basic shapes. / By the end **of** the lesson, you will be able to find the **area** **of** complex figures. / Standard 4MG1.4 - Students will understand **and** use formulas to solve problems involving…**areas** **of** **rectangles** **and** **squares**. Use those formulas to find the **areas** **of** more complex figures/

**Square**! **Rectangle** What is the **area** formula?bh What other shape has 4 right angles? **Square**! Can we use the same **area** formula? **Rectangle** What is the **area** formula?bh What other shape has 4 right angles? **Square**! Can we use the same **area** formula? Yes Practice! **Rectangle** **Square** 10m 17m 14cm Answers **Rectangle** **Square**/2 *2 = bhbh Kite Now we have a different problem. What is the base **and** height **of** a kite? The green line is called the symmetry line, **and** the red line is half the other diagonal. bhbh 2 *2 = bhbh Kite /

Find the **AREA** **of** the **RECTANGLE**. A **square** centimeter is a unit **of** **area**. I count the **square** units covered by each **rectangle** to find its **area** PM 4A Find the **AREA** **of** the **RECTANGLE**. I multiply the length **and** width **of** each **rectangle** to find its **area** Length Width = 4 cm = 3 cm The **AREA** **of** the **RECTANGLE** is 12 **square** centimeters. PM 4A 4 cm 2 cm **Area** = 4 x 2 **Area** = 2 x 4 The **AREA** **of** the **RECTANGLE** is 8 **square** centimeters/

method to calculate the **area** **of** a **rectangle** */ public int calculateArea() { return this.**area**; } /* declare a method to calculate the perimeter **of** a **rectangle** */ public int calculatePerimeter() { return this.perimeter; } © Vinny Cahill 21 Transfer **of** control public static void main(String[] args) { Terminal window; **Square** shape1, shape2; int **area**; window = new Terminal(“**Square**”); shape1 = new **Square**(10); shape2 = new **Square**(20); **area** = shape1.calculateArea(); window.println(“**Area** is: ” + **area**); **area** = shape2/

**of** trapezoids! http://www.mathsisfu n.com/definitions/trap ezoid.html Ch. 2 ---------- 2.2.2 **Square** Units- - A unit **of** measure -Can be **of**/**Area** **of** a **rectangle** is A=Length * Width Ch. 1 ---------- 1.1.2 **Area**- - The space that a 2-dimensional shape covers The **area** **of** this shape can be found by using this formula: **Area** = Length x Width Perimeter- The length **of** the boundary around a shape **Area** & Perimeter Rock Video! --------------------------------------------- **Area**/natural numbers! Natural numbers **and** 0 Ch. 1 /

maintain the union **of** **squares** –O(n 1/3 log n) (amortized) time per insert/delete Conjecture : O(npolylog(n)) algorithm Overmars-Yap Algorithm (d=3) Sweep a plane in +z-direction Maintain the **area** **of** the cross section **of** the union Union **of** Cross-Section R: Intersection **rectangles** **of** B & the sweep plane Maintain **Area**( U (R)) Maintaining theArea Project R on the x-y plane **and** bound in/

**and** angles are congruent. **Rectangles** have two diagonals **and** those two diagonals are equal. **Squares** are **rectangles** but there are also **rectangles** that are not **squares**. Height **and** Width **Rectangles** are characterized by their height h **and** their width w. If the width **and** the height become the same length it is no longer a **rectangle** it becomes a **square**. Equations for **Rectangles** The perimeter is h+w+h+w or 2h+2w. The **area**/

= 15 m 2 **Area** **of** Trapezoid A = ½ h (b 1 + b 2 ) 14 m 6 m 8 m A = ½ 14 (6 + 8) A = ½ 14 14 A = 0.5 14 14 A = 98 m 2 Perimeter **of** Any Shape Add up all **of** the sides. 10 in 8 in P = 56 in 3 in 9 in 4 in P = 29 in Perimeter **of** **Rectangles** **and** **Squares** **Rectangle** P = 2L + 2W/

be used to find the **area** **of** the **rectangle**? 4 x 6 = 24 Concept Development Can we estimate to draw **square** units inside the **rectangle**? Concept Development Yes! It might take longer because fewer units are given. Concept Development Talk to your partner. What is a quicker way to find the total **area**? Concept Development We could find the number **of** rows & columns **and** multiply. Concept Development How/

Formulas **Area** **Area** is measured in **square** units An in 2 is a **square** 1 inch on a side **Area** formulas **Rectangle** l w where l is the length **of** the **rectangle** **and** w is the width **of** the **rectangle** 12 5 **Area** = 5(12) 60 Perimeter Perimeter is the distance around a figure Distance is measured in length units Perimeter formulas **Rectangle** 2 l + 2 w where l is the length **of** the **rectangle** **and**/

solve **area** problems involving **squares** **and** **rectangles**? Aim: **Area**: **Rectangle** & **Square** Course: Applied Geo. **Area** **Area**: the space enclosed within Measured in **square** units s = 7 **Square** 49 sq. units **Area** **of** a **square** = s s = s 2 s = 7 **Area** **of** **square** = 7 7 = 49 units 2 1 **square** unit 1234567 8 49 Aim: **Area**: **Rectangle** & **Square** Course: Applied Geo. **Area** **of** **Rectangle** **Area** **of** a **Rectangle** w = 4 l = 9 36 sq. units **Area** **of** a **rectangle** = l w **Area** **of** **rectangle** =9 4 = 36 units 2 Aim: **Area**: **Rectangle** & **Square** Course: Applied/

the important information: The **area** **of** the **rectangle** is 56 **square** inches. The length **of** the **rectangle** is 8 inches. Draw a diagram to represent this information. 56 8 w Holt CA Course 1 Solving Equations by Dividing 1-10 Example 2 Continued 2 Make a Plan You can write **and** solve an equation using the formula for **area**. To find the **area** **of** a **rectangle**, multiply its length by its/

about it? Is this shape similar to the first **rectangle**? **Rectangle** 1 Is this shape similar to the first **rectangle**? How are they alike, **and** how are they different? **Rectangle** 1 **Rectangle** 2 What is the **area** **of** this shape? What is the length **of** **rectangle** 2? What is the **area** **of** this shape? What is the width **of** **rectangle** 2? 84 **Square** centimeters What is the **area** **of** **rectangle** 2? Is this shape similar to the first/

**area** **of** the **rectangle** is 91 **square** inches. Find the dimensions **of** the **rectangle**. Word Problems - 400 A garden measuring 12 meters by 16 meters is to have a pedestrian pathway installed all around it, increasing the total **area** to 285 **square** meters. What will be the width **of** the pathway? Word Problems - 500 You have to make a **square**-bottomed, unlidded box with a height **of** three inches **and** a volume **of**/

if the height = 5cm **and** the with = 10cm? Answer=250cm circumference The **area** within a bounding line: the vast circumference **of** his mind. Circle C=2*pi*r Question? What is the circumference **of** the circle if the diameter 5cm? Answer=15.7 Perimeter The perimeter is the borderor outer boundary **of** a two-dimensional figure. **Square** R=4s **Rectangle** P=2l+2w or P=(l+w/

the important information: The **area** **of** the **rectangle** is 56 **square** inches. The length **of** the **rectangle** is 8 inches. Draw a diagram to represent this information. 56 8 w Holt CA Course 1 Solving Equations by Dividing 1-10 Teacher Example 3 Continued: 2 Make a Plan You can write **and** solve an equation using the formula for **area**. To find the **area** **of** a **rectangle**, multiply its length by/

to see each face as a flat shape. The nets for a cube **and** **rectangle** are given below. frontleftrightback bottom top 3 3 3 3 3 3 3 3 front top bottom back side Surface **Area** is the **area** **of** 6 **squares** **of** length 3 on each side. **Area** **of** a **square** is 3·3=9. The **area** **of** 6 **squares** is 6·9=54. 5 3 2 2 3 3 5 5/

**Area** **of** the Base? What is the Perimeter **of** the Base? The Surface **Area** is… (**Area** **of** the Base) 2 + Perimeter(Height **of** Prism) 2(A) + P(H) What type **of** prism it is? -Rectangular prism What is the Base Shape? -Base shape: **Rectangle**, base ‘B’ **and** height‘H What is the **Area** **of** the Base? -**Area** **of**/ m² +192cm ² = 288c m² 12cm 4cm SA=2(**Area**) + P(H) : **Rectangle** 12cm 4cm Net What shapes do you see? Two **Squares** Four **Rectangles** **Area** **of** Side= BH =6cm*4cm = 24 cm 2 **Area** **of** **Rectangle**= BH Bottom= 12cm*4cm = 48 cm 2 Front face=/

Warm up Simplify. 1. 2. 3. EOCT Practice The **area** **of** a **rectangle** is b2 – 5b – 24 **square** centimeters. Its width is b + 3 centimeters. Which expression represents the length in centimeters, **of** the **rectangle**? b - 8 b + 8 b - 15 b + 15 a Multiplying Radicals / simplify if possible. Your Turn Dividing Radicals Dividing Radicals Check to see if you can simplify the radicands **and** split them up. Simplify PERFECT **SQUARES**. If there’s a radical in the denominator, rationalize it. Check again to see if any numbers /

each side to cover a **rectangle** that measures 7 inches long **and** 3 inches wide. 3" Each **square** piece measures one inch along each side. 1" 7" Each row contains 7 **square** pieces. **Area** **of** a **Rectangle** Finding the **Area** **of** a **Rectangle** **Area** **of** a **rectangle** = length • width A = l • w Remember to use **square** units when measuring **area**. Finding the **Area** **of** a **Rectangle** EXAMPLE 1 Finding the **Area** **of** a **Rectangle** Find the **area** **of** each **rectangle**. (a) 7 cm A/

add **and** the values for each side. 2 2 2 2 3 **Area** **of** a **Rectangle** The **area** **of** a **rectangle** is determined by multiplying length x width. 2 x 4 = ______ 2 4 **Area** **of** a **Square** or **Rectangle** 2 x 4 = 8 2 4 Find the **area** **of** these **rectangles**. 1 2 2 3 3 45 6 **Area** **of** a **Square** You find the **area** **of** a **square** by multiplying the side by itself. 3 Find the **area** **of** these **squares**/

**Squares** in a **Rectangle** Tutorial Find the **area** **of** the large **rectangle**. The figure below shows a **rectangle** that has been divided into nine **squares**, all **of** different dimensions. The smallest **square** has sides 1 unit long, **and** the sides **of** two other **squares** have been labeled. Find the **area** **of** the large **rectangle**. x x + 1 1 REMEMBER! We need to find the dimensions **of** the large **rectangle** since A = bh The highlighted segment is the SUM/

cost $6.50 per **square** yard, find the cost **of** the grass. Answer: 7) 2.3 ft2 ; 8) 9 yd2 CONFIDENTIAL Composite Figures Let’s review A composite figure is made up **of** simple shapes such as triangles, **rectangles**, trapezoids **and** circles. To find the **area** **of** a composite figure, find the **areas** **of** the simple shapes **and** then use the **Area** Addition Postulate. CONFIDENTIAL Finding the **area** **of** Composite Figures by Adding/

ID: "; cin >> id; cout << "Type **of** Usage (1)personal, (2)company:"; cin >> usage/**area**(), perimeter(), color() Triangle vertices height(), base() **Rectangle** upper_left, lower_right width(), length() SquareCircle A 35 Circle ShapePointCircle 1 1 36 Circle Object creation interaction diagram CircleShapePoint Circle(x,y,r) Shape(color) Point(x,y) Process initialization list: initialize base class Process initialization list: initialize center Complete initialization Constructor’s body 37 **Rectangle** **and** **Square**/

uses the **area** **of** **squares** **and** **rectangles** to help expand **and** factorise simple quadratic expressions. You will need a selection **of** large **squares**, small **squares** **and** **rectangles**. Large **squares** measure x by x Small **squares** measure 1 by 1 **Rectangles** measure x by 1 **Areas** What is the **area** **of** each **of** the basic shapes? 1 1 x2 x x x 1 1 x How could you fill the **rectangle** below using the shapes you have? Filling a **Rectangle** How/

.1 Find the **area** **of** right triangles, other triangles, special quadrilaterals, **and** polygons by composing into **rectangles** or decomposing into triangles **and** other shapes; apply these techniques in the context **of** solving real-world **and** mathematical problems. Finding the **area** **of** a **rectangle** I.G.I Vocabulary **Area** – finding how many **squares** it takes to cover the surface **of** a figure Labeled “units **squared**” or “u ²” Finding the **area** **of** a **rectangle** How many **squares** will it take/

11 ½ 11 5 This is also one half **of** a **square** unit. This is one fourth **of** a **square** unit. This is one half **of** a **square** unit. This is one **square** unit. This **rectangle** is 3 ½ units wide **and** 3 ½ units long. What is its **area**? Let’s count **square** units to find the **area**. 1 6 4 3 2 7 Finding the **Area** **of** **Rectangles** 6 6 1 2 1 2 3 3/

foot. Find the total number **of** **squares** contained in each shape. 91 **square** feet 28 **square** feet 101 **square** feet 200 **square** feet 82 **square** feet 32 **square** feet You probably already know many **area** formulas. Think **of** the investigations in this chapter as physical demonstrations **of** the formulas that will help you understand **and** remember them. How can you find the **area** **of** these three **rectangles**? Any side **of** a **rectangle** can be called the base/

**square** is an equilateral **rectangle**. Along with these definitions, a **square** is a parallelogram as well. **Square** Facts In plane (Euclidean) geometry, a **square** is a polygon with four equal sides, four right angles, **and** parallel opposite sides. The perimeter **of** a **square** whose sides have length s is P = 4s **And** the **area** is A = s 2 In classical times, the second power was described in terms **of** the **area** **of** a **square**/

5m This **area** is in **square** metres: 1m Solution A = LW L = 3W = 5 A = 3 x 5 A = 15m 2 Example 3. Calculate the **area** **of** the shape above: 8cm 2cm 5cm 3cm Solution. Split the shape up into two **rectangles**: A1 A2 Calculate the **area** **of** A1 **and** A2. A1 2 5 A2 3 6 **Area** = A1 + A2 **Area** = ( 2 x 5) + (6 x 3) **Area** = 10 + 18 **Area** = 28cm/

= ½(14)(10) = 70 Sq. Units Example: Find the **area** **of** the rhombus A = 1080 m 2 A **square** is a quadrilateral with four right angles **and** four congruent sides. A **square** is a parallelogram, a **rectangle**, **and** a rhombus. What is a **Square**? To Prove a Parallelogram is a **Rectangle**, Rhombus or a **Square**: Use distance formula to show diagonals are congruent (**rectangle**). Use slopes to prove consecutive sides are perpendicular/

Additional Example 2 Continued 25 + 50 + 75 + 100 = 250 **square** units. Add the **areas** **of** the four **rectangles** to find the total **area** **of** the design. The **area** **of** the design is 250 **square** units. 10-3 **Area** **of** Composite Figures You can also count the **squares** **and** multiply by the **area** **of** one **square**. 1 **square** = 25 **square** units. 10 25 = 250 **square** units. Helpful Hint 10-3 **Area** **of** Composite Figures Check It Out: Example 2 Lawanda made a/

inches. List the important information: The **area** **of** the **rectangle** is 56 **square** inches. The length **of** the **rectangle** is 8 inches. Draw a diagram to represent this information. 56 8 w 2-8 Multiplication Equations Additional Example 2 Continued 2 Make a Plan You can write **and** solve an equation using the formula for **area**. To find the **area** **of** a **rectangle**, multiply its length by its width. w l/

**Area** **of** a **rectangle** **Area** is measured in **square** units. For example, we can use mm 2, cm 2, m 2 or km 2. The 2 tells us that there are two dimensions, length **and** width. We can find the **area** **of** a **rectangle** by multiplying the length **and** the width **of** the **rectangle** together. length, l width, w **Area** **of** a **rectangle** = length × width = lw **Area** **of** a **rectangle** What is the **area** **of** this **rectangle**? 8 cm 4 cm **Area** **of**/

Geometry 11.1 **Areas** **of** **Rectangles** **Area** **of** a **Rectangle** The **area** **of** a **rectangle** equals the product **of** its base **and** height. A = bh 6 4 **Area** = (6) (4) = 24 **square** units Perimeter **of** a **Rectangle** The perimeter **of** a **rectangle** equals twice the length plus twice the width. P = 2 l + 2 w 6 4 Perimeter = 2(6) + 2(4) = 20 units 6 4 **Area** **of** a **Square** The **area** **of** a **square** is the **square** **of** the length **of** a side. A = s² 5/

given, **and** it will always be **squared**…ex.) 9 ft. 2 **Area** **of** a **Rectangle** A = L x W The **area** formula for a **rectangle** is length x width L W Find the **area** **of** these **rectangles**. 1 2 2 3 3 45 6 **Area** **of** a **Square** A = S x S You find the **area** **of** a **square** by multiplying the side by itself. S Find the **area** **of** these **squares**. 5 12 25 8 16 **Area** **of** a Triangle/

in feet…it’s feet…if meters…it’s meters. In this example the **area** is 4 **square** units…note 4 **squares** fit) 1 2 units (ft, in, m) 2 3 4 Free powerpoint template: www.brainybetty.com 5 **Area** **of** a **Rectangle** The **area** (A) **of** a **rectangle** is the product **of** the length ( l ) **and** width ( w ). A = lw l w Example: Free powerpoint template: www.brainybetty.com 6/

Mrs. Hafer What is **area**? **Area** tells the size **of** a shape or figure. It tells us the size **of** **squares**, **rectangles**, circles, triangles, other polygons, or any enclosed figure. In the real world it tells us the size **of** computer screens, rooms in houses, baseball fields, towns, cities, countries, **and** so on. Why do you need to know about **area**? http://www.sdsplans.com/wp-content/uploads/2009/

Objective: factor polynomials by finding the GCF, identifying perfect **squares** & “undoing the box”. What is factoring **and** how is it done? Factoring Un-multiplying or Un-distributing Break into simpler parts Factored/ **area** **of** a **rectangle** is represented by the expression 3x 2 + 12x. The length **of** the **rectangle** is 3x, what expression represents the width? **Area** = 3x 2 +12x 3x Width = ? – **Area** = x 2 – 64 Length = ? Width = ? to be turned in for a grade Directions: find the length **and**/or width **of** every **rectangle**./

copyright©amberpasillas2010 Today we are going to find the **Area** **of** Parallelograms **Area** The number **of** **square** units that are needed to cover the surface **of** a figure. Polygon Any closed plane figure made **of** line segments. copyright©amberpasillas2010 Circle the polygons below. Regular Polygon Polygon with all sides congruent **and** all angles congruent. The **area** **of** a **rectangle** is equal to the base times the height. Also known as length times/

Ads by Google