Question

Polygon A has an area of 18 square feet and Polygon B has an area of 98 square feet. If the two polygons are similar, and Polygon B has a side length of 14 feet, find the corresponding side length in Polygon A.

Answer 1

Answer:

6 feet

Step-by-step explanation:

Let the length of side length in polygon A be represented by x. Since the two polygons are similar, then it can be deduced that;

Area scale factor = $(linear scale factor)^{2}$

linear scale factor = $\sqrt{Area scale factor}$

Area scale factor = $\frac{98}{18}$

So that,

linear scale factor = $\sqrt{\frac{98}{18} }$

                              = 2.3333

The length of side of polygon A = $\frac{14}{2.3333}$

                                       = 6.0085

Therefore, the corresponding side length of polygon A is 6 feet.