Trapezoid DEFG is dilated by scale factor of 2\3 to form trapezoid D'E'FG. Side E'F' measures 32. What is the measure of side EF?

Question

asked Jul 15, 2022 59.2k views

1 Answer

Esben Andersen · Answer 1 · 2022-07-20T23:39:41+0000

Answer: 48

Explanation:

Given

Trapezoid DEFG is dilated by a scale factor of
(2)/(3)

E'F'=32

Suppose the length of EF is

Multiply the side length of DEFG by
(2)/(3) to form E'F'

$\Rightarrow E'F'=x* (2)/(3)\\\\\Rightarrow 32=x* (2)/(3)\\\\\Rightarrow x=16* 3\\\Rightarrow x=48$

$\therefore EF=48$