Question

A square with sides of length 8 in. rests (as shown) on a square with sides of length 24 in. find the perimeter (in inches) of trapezoid ABCD

Answer 1

∆EDC ~ ∆EAB

32/24 = 8/AB

AB = 6

EB = 10 (since 3:4:5 = 6:8:10)

EC = 40 (since 3:4:5 = 24:32:40)

BC = 40 - 10 = 30

Perimeter of ABCD = 6 + 30 + 24 + 24

= 84 inches