Download presentation

Published byOmar Weeden Modified over 4 years ago

1
Preview Warm Up California Standards Lesson Presentation

2
Warm Up A rectangle has sides lengths of 12 ft and 20 ft. 1. Find the perimeter. 64 ft 2. Find the area. 240 ft2

3
MG2.1 Use formulas routinely for finding the perimeter and area of basic two-dimensional figures and the surface area and volume of basic three-dimensional figures, including rectangles, parallelograms, trapezoids, squares, triangles, circles, prisms, and cylinders. Also covered: MG3.2 California Standards

4
**Additional Example 1: Using Perimeter**

Find the missing measurement when the perimeter is 71 in. 18 in. 15 in. d 22 in. P = d 71 = 55 + d Substitute 71 for P. Subtract 55 from both sides. 16 = d d = 16 in.

5
Check It Out! Example 1 Find the missing measurement when the perimeter is 58 in. 14 in. 7 in. d 28 in. P = d 58 = 49 + d Substitute 58 for P. Subtract 49 from both sides. 9 = d d = 9 in.

6
**Additional Example 2: Multi-Step Application**

A homeowner wants to plant a border of shrubs around her yard that is in the shape of a right triangle. She knows that the length of the shortest side of the yard is 12 feet and the length of the longest side is 20 feet. How long will the border be? Step 1: Find the length of the third side. a2 + b2 = c2 Use the Pythagorean Theorem. 122 + b2 = 202 Substitute 12 for a and 20 for c. 144 + b2 = 400 b2 = 256 b = 16 √256 = 16.

7
**Additional Example 3 Continued**

Step 2: Find the perimeter of the yard. P = a + b + c = Add all sides. = 48 The border will be 48 feet long.

8
Check It Out! Example 2 A gardener wants to plant a border of flowers around the building that is in the shape of a right triangle. He knows that the length of the shortest sides of the building are 38 feet and 32 feet. How long will the border be? Step 1: Find the length of the third side. a2 + b2 = c2 Use the Pythagorean Theorem. = c2 Substitute 38 for a and 32 for b. = c2 2468 = c2 c ≈ 49.68 √2468

9
**Check It Out! Example 2 Continued**

Step 2: Find the perimeter of the yard. P = a + b + c Add all sides. The border will be about feet long.

10
**area of a triangle or trapezoid have as a factor.**

A triangle or trapezoid can be thought of as half of a parallelogram. Therefore, the formulas for the area of a triangle or trapezoid have as a factor. 1 2

12
**Additional Example 3: Finding the Area of Triangles and Trapezoids**

Graph and find the area of the figure with the given vertices. A. (–2, 2), (4, 2), (0, 5) Area of a triangle y A = bh 1 2 (0, 5) Substitute for b and h. = • 6 • 3 1 2 3 (–2, 2) (4, 2) 6 = 9 units2 x

13
**Additional Example 3: Finding the Area of Triangles and Trapezoids**

Graph and find the area of the figure with the given vertices. B. (–1, 1), (4, 1), (4, 4), (0, 4) y Area of a trapezoid A = h(b1 + b2) 1 2 (0, 4) 4 (4, 4) 3 Substitute for h, b1, and b2. (–1, 1) (4, 1) x = • 3(5 + 4) 1 2 5 = 13.5 units2

14
**Graph and find the area of the figure with the given vertices.**

Check It Out! Example 3 Graph and find the area of the figure with the given vertices. A. (–1, –2), (5, –2), (5, 2), (–1, 6) y (–1, 6) Area of a trapezoid A = h(b1 + b2) 1 2 (5, 2) Substitute for h, b1, and b2. 8 6 4 x = • 6(8 + 4) 1 2 (–1, –2) (5, –2) = 36 units2

15
**Graph and find the area of the figure with the given vertices.**

Check It Out! Example 3 Graph and find the area of the figure with the given vertices. B. (–1, 1), (5, 1), (1, 5) Area of a triangle y A = bh 1 2 (1, 5) Substitute for b and h. = • 6 • 4 1 2 4 (–1, 1) (5, 1) = 12 units2 x 6

16
**1. the perimeter of the triangle 36 cm**

Lesson Quiz Use the figure to find the following measurements. 1. the perimeter of the triangle 36 cm 2. the perimeter of the trapezoid 44 cm 3. the perimeter of the combined figure 64 cm 4. the area of the triangle 54 cm2 5. the area of the trapezoid 104 cm2

Similar presentations

Presentation is loading. Please wait....

OK

9.4 – Perimeter, Area, and Circumference

9.4 – Perimeter, Area, and Circumference

© 2018 SlidePlayer.com Inc.

All rights reserved.

To ensure the functioning of the site, we use **cookies**. We share information about your activities on the site with our partners and Google partners: social networks and companies engaged in advertising and web analytics. For more information, see the Privacy Policy and Google Privacy & Terms.
Your consent to our cookies if you continue to use this website.

Ads by Google

Ppt on statistics in maths what is the factor Ppt on history of badminton sport Ppt on kingdom monera images Ppt on training and development of employees Ppt on ready to serve beverages clip Ppt on success and failure in business Download ppt on journal ledger and trial balance Ppt on political parties class x Ppt on english language learning Download ppt on medical tourism in india