SOLUTION: Corresponding sides in two similar pentagons are 4 in. and 6 in. The area of the first is 32 sq. in. Find the area of the second.

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Question 1159040: Corresponding sides in two similar pentagons are 4 in. and 6 in. The area of the first is 32 sq. in. Find the area of the second.
Answer by greenestamps(13200) About Me  (Show Source):
You can put this solution on YOUR website!


The ratio of the side lengths is 4:6 or 2:3.

Since the figures are similar, the ratio of areas is 2^2:3^2 = 4:9

You can do the arithmetic.

It's a basic principle about similar figures -- the ratio of areas is the square of the ratio of linear measurements (scale factor); the ratio of volumes is the cube of the scale factor.