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

6 feet

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 =
`√(Area scale factor)`

Area scale factor =
`(98)/(18)`

So that,

linear scale factor =
`\sqrt{(98)/(18) }`

= 2.3333

The length of side of polygon A =
`(14)/(2.3333)`

= 6.0085

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