Question

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?

Answer 1

Answer: 48

Explanation:

Given

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

`E'F'=32`

Suppose the length of EF is
`x`

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`