Question

Pentagon uvwxy is similar to pentagon jklmn. what is the length of xy?

Answer 1

ANSWER

C. 24

EXPLANATION

From polygon JKLMN,

JK=MN=32

Since the two polygons are similar, their corresponding sides are in the same proportion.

This implies that;

$\frac{XY}{MN} = \frac{WX}{LM}$

We substitute the values to obtain,

$\frac{XY}{32} = \frac{30}{40}$

Multiply both sides by 32.

$XY = \frac{30}{40} \times 32$

$XY = \frac{3}{4} \times 32 = 24$