Question

two similar polygon have areas of 100 square inches and 81 square inches.If a side of the first is 5 in., find the corresponding side of the second polygon

Answer 1

We use the relationship

$\frac{side,A}{side,B}=\sqrt{\frac{area,A}{area,B}}$

So
side of smaller polygon / side of larger polygon
=sqrt(81/100)
=9/10

side of smaller polygon
= (9/10)*side of larger polygon
= (9/10)*(5")
=4.5"