Warm Up 1. What is the perimeter of a square with side lengths of 15 in.? 2. What is the perimeter...
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![Page 1: Warm Up 1. What is the perimeter of a square with side lengths of 15 in.? 2. What is the perimeter of a rectangle with length 16 cm and width 11 cm? 60.](https://reader033.fdocuments.us/reader033/viewer/2022061510/56649ea35503460f94ba6f19/html5/thumbnails/1.jpg)
Warm Up
1. What is the perimeter of a square with side lengths of 15 in.?
2. What is the perimeter of a rectangle with length 16 cm and width 11 cm?
60 in.
54 cm
![Page 2: Warm Up 1. What is the perimeter of a square with side lengths of 15 in.? 2. What is the perimeter of a rectangle with length 16 cm and width 11 cm? 60.](https://reader033.fdocuments.us/reader033/viewer/2022061510/56649ea35503460f94ba6f19/html5/thumbnails/2.jpg)
![Page 3: Warm Up 1. What is the perimeter of a square with side lengths of 15 in.? 2. What is the perimeter of a rectangle with length 16 cm and width 11 cm? 60.](https://reader033.fdocuments.us/reader033/viewer/2022061510/56649ea35503460f94ba6f19/html5/thumbnails/3.jpg)
The perimeter of a figure is the distance around it. To find the perimeter you can add the lengths of the sides.
![Page 4: Warm Up 1. What is the perimeter of a square with side lengths of 15 in.? 2. What is the perimeter of a rectangle with length 16 cm and width 11 cm? 60.](https://reader033.fdocuments.us/reader033/viewer/2022061510/56649ea35503460f94ba6f19/html5/thumbnails/4.jpg)
![Page 5: Warm Up 1. What is the perimeter of a square with side lengths of 15 in.? 2. What is the perimeter of a rectangle with length 16 cm and width 11 cm? 60.](https://reader033.fdocuments.us/reader033/viewer/2022061510/56649ea35503460f94ba6f19/html5/thumbnails/5.jpg)
Additional Example 1: Finding the Perimeter of a Polygon
Find the perimeter of the figure.
2.8 + 3.6 + 3.5 + 3 + 4.3
Add all the side lengths.
The perimeter is 17.2 in.
![Page 6: Warm Up 1. What is the perimeter of a square with side lengths of 15 in.? 2. What is the perimeter of a rectangle with length 16 cm and width 11 cm? 60.](https://reader033.fdocuments.us/reader033/viewer/2022061510/56649ea35503460f94ba6f19/html5/thumbnails/6.jpg)
Try This: Example 1
Find the perimeter of the figure.
3.3 + 3.3 + 4.2 + 4.2 + 3
Add all the side lengths.3.3 in. 3.3 in.
4.2 in.4.2 in.
3 in.
The perimeter is 18 in.
![Page 7: Warm Up 1. What is the perimeter of a square with side lengths of 15 in.? 2. What is the perimeter of a rectangle with length 16 cm and width 11 cm? 60.](https://reader033.fdocuments.us/reader033/viewer/2022061510/56649ea35503460f94ba6f19/html5/thumbnails/7.jpg)
![Page 8: Warm Up 1. What is the perimeter of a square with side lengths of 15 in.? 2. What is the perimeter of a rectangle with length 16 cm and width 11 cm? 60.](https://reader033.fdocuments.us/reader033/viewer/2022061510/56649ea35503460f94ba6f19/html5/thumbnails/8.jpg)
Additional Example 2: Using a Formula to Find Perimeter
Find the perimeter P of the rectangle.
P = 2l+ 2w
Substitute 12 for l and 3 for w.P = (2 • 12) + (2 • 3)
P = 24 + 6
P = 30
Multiply.
Add.
The perimeter is 30 cm.
12 cm
3 cm
![Page 9: Warm Up 1. What is the perimeter of a square with side lengths of 15 in.? 2. What is the perimeter of a rectangle with length 16 cm and width 11 cm? 60.](https://reader033.fdocuments.us/reader033/viewer/2022061510/56649ea35503460f94ba6f19/html5/thumbnails/9.jpg)
How many individual boxes are there here?
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Learn to find the area of rectangles, triangles, and parallelograms.
![Page 12: Warm Up 1. What is the perimeter of a square with side lengths of 15 in.? 2. What is the perimeter of a rectangle with length 16 cm and width 11 cm? 60.](https://reader033.fdocuments.us/reader033/viewer/2022061510/56649ea35503460f94ba6f19/html5/thumbnails/12.jpg)
Vocabulary
area
Insert Lesson Title Here
![Page 13: Warm Up 1. What is the perimeter of a square with side lengths of 15 in.? 2. What is the perimeter of a rectangle with length 16 cm and width 11 cm? 60.](https://reader033.fdocuments.us/reader033/viewer/2022061510/56649ea35503460f94ba6f19/html5/thumbnails/13.jpg)
The area of a figure is the amount of surface it covers. We measure area in square
units.
![Page 14: Warm Up 1. What is the perimeter of a square with side lengths of 15 in.? 2. What is the perimeter of a rectangle with length 16 cm and width 11 cm? 60.](https://reader033.fdocuments.us/reader033/viewer/2022061510/56649ea35503460f94ba6f19/html5/thumbnails/14.jpg)
![Page 15: Warm Up 1. What is the perimeter of a square with side lengths of 15 in.? 2. What is the perimeter of a rectangle with length 16 cm and width 11 cm? 60.](https://reader033.fdocuments.us/reader033/viewer/2022061510/56649ea35503460f94ba6f19/html5/thumbnails/15.jpg)
Additional Example 2: Estimating the Area of a Rectangle
Find the area of the figure.
Write the formula.
Substitute 15 for l.Substitute 9 for w.
A = lw
A = 15 • 9
A = 135
The area is 135 in2.
15 in.
9 in.
![Page 16: Warm Up 1. What is the perimeter of a square with side lengths of 15 in.? 2. What is the perimeter of a rectangle with length 16 cm and width 11 cm? 60.](https://reader033.fdocuments.us/reader033/viewer/2022061510/56649ea35503460f94ba6f19/html5/thumbnails/16.jpg)
Try This: Example 2
Find the area of the figure.
Write the formula.
Substitute 13 for l.Substitute 7 for w.
A = lw
A = 13 • 7
A = 91
The area is 91 in2.
13 in.
7 in.
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46 ft.
3 ft.
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46 ft.
3 ft.
![Page 19: Warm Up 1. What is the perimeter of a square with side lengths of 15 in.? 2. What is the perimeter of a rectangle with length 16 cm and width 11 cm? 60.](https://reader033.fdocuments.us/reader033/viewer/2022061510/56649ea35503460f94ba6f19/html5/thumbnails/19.jpg)
25 cm.
5 cm.
![Page 20: Warm Up 1. What is the perimeter of a square with side lengths of 15 in.? 2. What is the perimeter of a rectangle with length 16 cm and width 11 cm? 60.](https://reader033.fdocuments.us/reader033/viewer/2022061510/56649ea35503460f94ba6f19/html5/thumbnails/20.jpg)
You can use the formula for the area of a rectangle to write a formula for the area of a parallelogram. Imagine cutting off the triangle drawn in the parallelogram and sliding it to the right to form a rectangle.
The area of a parallelogram = bh. The area of a rectangle = lw.
The base of the parallelogram is the length of the rectangle. The height of the parallelogram is the width of the rectangle.
![Page 21: Warm Up 1. What is the perimeter of a square with side lengths of 15 in.? 2. What is the perimeter of a rectangle with length 16 cm and width 11 cm? 60.](https://reader033.fdocuments.us/reader033/viewer/2022061510/56649ea35503460f94ba6f19/html5/thumbnails/21.jpg)
Additional Example 3: Finding the Area of a Parallelogram
Find the area of the parallelogram.
Write the formula.
Multiply.
A = bh
2 ft12
A = 2 • 112__ 1
4__ Substitute 2 for b
and 1 for h.
12__
14__
A = •52__ 5
4__
A = or 325 8
___ 18__
The area is 3 ft2. 18__
14
1 ft
![Page 22: Warm Up 1. What is the perimeter of a square with side lengths of 15 in.? 2. What is the perimeter of a rectangle with length 16 cm and width 11 cm? 60.](https://reader033.fdocuments.us/reader033/viewer/2022061510/56649ea35503460f94ba6f19/html5/thumbnails/22.jpg)
Try This: Example 3
Find the area of the parallelogram.
Write the formula.
Multiply.
A = bh
A = 1 • 312__ 1
2__ Substitute 1 for b
and 3 for h.
12__
12__
A = •32__ 7
2__
A = or 521 4
___ 14__
The area is 5 ft2.14__
11 ft2
13 ft2
![Page 23: Warm Up 1. What is the perimeter of a square with side lengths of 15 in.? 2. What is the perimeter of a rectangle with length 16 cm and width 11 cm? 60.](https://reader033.fdocuments.us/reader033/viewer/2022061510/56649ea35503460f94ba6f19/html5/thumbnails/23.jpg)
I made a DELICIOUS peanut butter and jelly sandwich for lunch today. I’m so excited to eat it!!! Dylan came to me crying and said he forgot his lunch! Since I’m so
nice, I cut my sandwich diagonally and gave one piece to Dylan and kept one for myself. Who got more
of the sandwich??
![Page 24: Warm Up 1. What is the perimeter of a square with side lengths of 15 in.? 2. What is the perimeter of a rectangle with length 16 cm and width 11 cm? 60.](https://reader033.fdocuments.us/reader033/viewer/2022061510/56649ea35503460f94ba6f19/html5/thumbnails/24.jpg)
You can make a square out of two congruent triangles.
![Page 25: Warm Up 1. What is the perimeter of a square with side lengths of 15 in.? 2. What is the perimeter of a rectangle with length 16 cm and width 11 cm? 60.](https://reader033.fdocuments.us/reader033/viewer/2022061510/56649ea35503460f94ba6f19/html5/thumbnails/25.jpg)
If the area of a triangle is HALF the area of the rectangle, what could we use for
the formula of a triangle?
![Page 26: Warm Up 1. What is the perimeter of a square with side lengths of 15 in.? 2. What is the perimeter of a rectangle with length 16 cm and width 11 cm? 60.](https://reader033.fdocuments.us/reader033/viewer/2022061510/56649ea35503460f94ba6f19/html5/thumbnails/26.jpg)
New Formula
We can pretend the triangle is a rectangle and find the area of the rectangle! Then divide it by two.
LW ÷ 2
![Page 27: Warm Up 1. What is the perimeter of a square with side lengths of 15 in.? 2. What is the perimeter of a rectangle with length 16 cm and width 11 cm? 60.](https://reader033.fdocuments.us/reader033/viewer/2022061510/56649ea35503460f94ba6f19/html5/thumbnails/27.jpg)
New Formula
We can pretend the triangle is a rectangle and find the area of the rectangle! Then divide it by two.
![Page 28: Warm Up 1. What is the perimeter of a square with side lengths of 15 in.? 2. What is the perimeter of a rectangle with length 16 cm and width 11 cm? 60.](https://reader033.fdocuments.us/reader033/viewer/2022061510/56649ea35503460f94ba6f19/html5/thumbnails/28.jpg)
Additional Example 4: Finding the Area of a Triangle
Find the area of the triangle.
Write the formula.
Substitute 9.6 for b. Substitute 2.9 for h.
Multiply.
The area is 13.92 cm2.
A = 13.92
A = bh12__
A = (9.6 • 2.9)12__
A = (27.84)12__
![Page 29: Warm Up 1. What is the perimeter of a square with side lengths of 15 in.? 2. What is the perimeter of a rectangle with length 16 cm and width 11 cm? 60.](https://reader033.fdocuments.us/reader033/viewer/2022061510/56649ea35503460f94ba6f19/html5/thumbnails/29.jpg)
Try This: Example 4
Find the area of the triangle.
Write the formula.
Substitute 8.5 for b. Substitute 3.4 for h.
Multiply.
The area is 14.45 cm2.
3.4 cm
8.5 cm
A = 14.45
A = bh12__
A = (8.5 • 3.4)12__
A = (28.9)12__
![Page 30: Warm Up 1. What is the perimeter of a square with side lengths of 15 in.? 2. What is the perimeter of a rectangle with length 16 cm and width 11 cm? 60.](https://reader033.fdocuments.us/reader033/viewer/2022061510/56649ea35503460f94ba6f19/html5/thumbnails/30.jpg)
Lesson Quiz
Find the area of each figure.
1. 2.
3. What is the area of a parallelogram with base
16 in. and height 10 in.?
4. What is the area of a triangle with base 10 in.
and height 7 in.?
Insert Lesson Title Here
4.5 m
9.2 m41.4 m2 24 ft2
160 in2
35 in2