Two corresponding side of similar pentagons are 12 cm and 28 cm.

what is the ratio of the areas of the pentagons?

A. 12/28

B. 27/343

C. 9/49

The ratio of the areas of the polygon will be evaluated as follows:

area scale factor = (linear scale factor) ²

linear scale factor = (length of pentagon A) / (length of polygon B) = 12/28=3/7

thus:

area ratio = (3/7) ²=9/49

Answer: C. 9/49