Question

. Two pentagons are similar. Their sides are in a ratio of 7:2. If the larger pentagon has a perimeter of 28 in., find the perimeter of the smaller pentagon.

Answer 1

8 in

Explanation:

The ratio of sides and perimeter in similar figures are equal.

let x be the perimeter of the smaller figure, then by proportion

`(7)/(28)` =
`(2)/(x)` ( cross- multiply )

7x = 56 ( divide both sides by 7 )

x = 8

The perimeter of the smaller pentagon is 8 in