Similar Polygons

Question

The two polygons are similar. Find the values of x and y.

Answer 1

The side length 24 (left triangle) corresponds to the side length 18 (right triangle), so the ratio of all corresponding sides of the left triangle to right triangle are 24/18 = 4/3

Length 27 corresponds to length y

so 27 4

---- ---

y 3

y = 20.5

Length 39 corresponds to length x-6

so 39 4

---- = ----

x-6 3

117 = 4x - 24

141 = 4x

35.25 = x