11.3 – Perimeter and Area of Similar Figures
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Transcript of 11.3 – Perimeter and Area of Similar Figures
![Page 1: 11.3 – Perimeter and Area of Similar Figures](https://reader035.fdocuments.us/reader035/viewer/2022062408/56813679550346895d9e0832/html5/thumbnails/1.jpg)
11.3 – Perimeter and Area of Similar Figures
![Page 2: 11.3 – Perimeter and Area of Similar Figures](https://reader035.fdocuments.us/reader035/viewer/2022062408/56813679550346895d9e0832/html5/thumbnails/2.jpg)
Find the ratio of the sides, perimeters, and areas of the similar rectangles.
9
36
2
Ratio of Sides: 32
![Page 3: 11.3 – Perimeter and Area of Similar Figures](https://reader035.fdocuments.us/reader035/viewer/2022062408/56813679550346895d9e0832/html5/thumbnails/3.jpg)
P = 9 + 3 + 9 + 3
P = 24u
P = 6 + 2 + 6 + 2
P = 16u
Ratio of Perimeters:2416
= 32
Find the ratio of the sides, perimeters, and areas of the similar rectangles.
9
36
2
![Page 4: 11.3 – Perimeter and Area of Similar Figures](https://reader035.fdocuments.us/reader035/viewer/2022062408/56813679550346895d9e0832/html5/thumbnails/4.jpg)
A = bhA = (9)(3)A = 27u2
A = bhA = (6)(2)A = 12u2
Find the ratio of the sides, perimeters, and areas of the similar rectangles.
9
36
2
Ratio of Areas:2712
= 94
![Page 5: 11.3 – Perimeter and Area of Similar Figures](https://reader035.fdocuments.us/reader035/viewer/2022062408/56813679550346895d9e0832/html5/thumbnails/5.jpg)
If two polygons are _____________ with the lengths of corresponding sides in the ratio ___________, then the ratio of their areas is ____________.
similara:b
a2:b2
S P A
ab
ab
a2
b2
![Page 6: 11.3 – Perimeter and Area of Similar Figures](https://reader035.fdocuments.us/reader035/viewer/2022062408/56813679550346895d9e0832/html5/thumbnails/6.jpg)
The ratio of the areas of two similar figures is given. Write the ratio of the lengths of corresponding sides.
Ratio of areas = 4:225
S P A
4 .
225 2 .
15 2 .
15
![Page 7: 11.3 – Perimeter and Area of Similar Figures](https://reader035.fdocuments.us/reader035/viewer/2022062408/56813679550346895d9e0832/html5/thumbnails/7.jpg)
The ratio of the areas of two similar figures is given. Write the ratio of the lengths of corresponding sides.
Ratio of areas = 16:49
S P A
16.
4947
47
![Page 8: 11.3 – Perimeter and Area of Similar Figures](https://reader035.fdocuments.us/reader035/viewer/2022062408/56813679550346895d9e0832/html5/thumbnails/8.jpg)
The ratio of the areas of two similar figures is given. Write the ratio of the lengths of corresponding sides.
Ratio of areas = 36:4
S P A
36.
462
62
![Page 9: 11.3 – Perimeter and Area of Similar Figures](https://reader035.fdocuments.us/reader035/viewer/2022062408/56813679550346895d9e0832/html5/thumbnails/9.jpg)
Use the given area to find XY.
S P A
144 36
12 6
=21
21
2 10
1 x=
2x =10
x = 5in
![Page 10: 11.3 – Perimeter and Area of Similar Figures](https://reader035.fdocuments.us/reader035/viewer/2022062408/56813679550346895d9e0832/html5/thumbnails/10.jpg)
Use the given area to find XY.
S P A
168378
23
=49
23
2 8
3 x=
2x =24
x = 12cm
![Page 11: 11.3 – Perimeter and Area of Similar Figures](https://reader035.fdocuments.us/reader035/viewer/2022062408/56813679550346895d9e0832/html5/thumbnails/11.jpg)
Corresponding lengths in similar figures are given. Find the ratios (shaded to unshaded) of the perimeters and areas. Find the unknown area.
S P A
28
1 .
1614
= 14
1 3
16 x=
x = 48ft2
![Page 12: 11.3 – Perimeter and Area of Similar Figures](https://reader035.fdocuments.us/reader035/viewer/2022062408/56813679550346895d9e0832/html5/thumbnails/12.jpg)
Corresponding lengths in similar figures are given. Find the ratios (shaded to unshaded) of the perimeters and areas. Find the unknown area.
S P A
915
9 .
2535
= 35
9
25 225
x=
25x = 2025
x = 81in2
![Page 13: 11.3 – Perimeter and Area of Similar Figures](https://reader035.fdocuments.us/reader035/viewer/2022062408/56813679550346895d9e0832/html5/thumbnails/13.jpg)
11.3 740-742 5-15 odd, 26-28, 35
HW Problems
#28
S P A
23
4.
96090
= 23
4
9 20
x=
9x = 80
x = 8.88 B