Polygon A has side a=3 and an area of 12 in. squared. If the similar polygon B has corresponding side b=5, what is the area of polygon B?

Question

Polygon A has side a=3 and an area of 12 in². If the similar polygon B has corresponding side b=5, what is the area of polygon B?

Answer 1

The scale factor k = 5/3.  The areas are related by the square of the scale factor:

 

A_B = k²·A_A

 

A_B = (5/3)²·(12 sq.in) = _____