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

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;
[tex] \frac{XY}{MN} = \frac{WX}{LM} [/tex]
We substitute the values to obtain,
[tex]\frac{XY}{32} = \frac{30}{40} [/tex]
Multiply both sides by 32.
[tex]XY = \frac{30}{40} \times 32[/tex]
[tex]XY = \frac{3}{4} \times 32 = 24[/tex]