Question

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

Answer 1

C. 24

Step-by-step explanation

From polygon JKLMN,

JK=MN=32

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

This implies that;

`(XY)/(MN) = (WX)/(LM)`

We substitute the values to obtain,

`(XY)/(32) = (30)/(40)`

Multiply both sides by 32.

`XY = (30)/(40) * 32`

`XY = (3)/(4) * 32 = 24`