2 Perimeters and Areas of Similar Figures If the scale factor of two similar figures is 𝑎 𝑏 , thenThe ratio of their perimeters is 𝑎 𝑏The ratio of their areas is 𝑎 2 𝑏 2
3 Problem 1: Finding Ratios in Similar Figures The trapezoids are similar. The ratio of the lengths of corresponding sides is 𝑜𝑟What is the ratio (smaller to larger) of the perimetersWhat is the ratio (smaller to larger) of the areas?
4 Two similar polygons have corresponding sides in the ratio 5:7 What is the ratio (larger to smaller) of their perimeters?What is the ratio (larger to smaller) of their areas?
5 Problem 2: Finding Areas Using Similar Figures The are of the smaller regular pentagon is about 27.5 square cm. What is the best approximation for the area of the larger pentagon?