11 3 Perimeter and Area of Similar Figures

11. 3 – Perimeter and Area of Similar Figures

Find the ratio of the sides, perimeters, and areas of the similar rectangles. 2 3 6 9 3 Ratio of Sides: 2

Find the ratio of the sides, perimeters, and areas of the similar rectangles. 2 3 9 6 P= 9+3+9+3 P= 6+2+6+2 P = 24 u P = 16 u 24 = 3 Ratio of Perimeters: 16 2

Find the ratio of the sides, perimeters, and areas of the similar rectangles. 2 3 6 9 A = bh A = (9)(3) A = 27 u 2 A = bh A = (6)(2) A = 12 u 2 27 = 9 Ratio of Areas: 12 4

If two polygons are _______ with the lengths of similar a: b corresponding sides in the ratio ______, then the a 2: b 2 ratio of their areas is ______. S P a b A a 2 b 2

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 2 15 . A 2 15 . 4 225 .

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 4 7 P A 4 7 16 49 .

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 6 2 P A 6 2 36 4 .

Use the given area to find XY. S P 2 12 2 = 1 6 1 2 x =10 x = 5 in A 144 36

Use the given area to find XY. S P A 2 3 168 = 4 378 9 2 x =24 x = 12 cm

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 2 =1 8 4 1 16 x = 48 ft 2 .

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 9 =3 15 5 3 5 9 25 25 x = 2025 x = 81 in 2 .

HW Problems 11. 3 740 -742 5 -15 odd, 26 -28, 35 #28 S 60 = 2 90 3 P A 2 3 4 9 . 9 x = 80 x = 8. 88 B