Question

Two polygons are similar. The perimeter of the smaller polygon is 66 feet and the ratio of the corresponding side lengths is 3 4 34 . Find the perimeter of the other polygon

Answer 1

Perimeter of the other polygon is 88 feet.

Explanation:

We are given that, 'Two polygons are similar'.

Also, the perimeter of the smaller polygon is 66 feet and the ratio of the corresponding side lengths is
`(3)/(4)`.

As, we know,

'If two polygons are similar, the ratio of their perimeters is equal to the ratio of their side lengths'.

Thus, we have,

Let, the perimeter of the other polygon = x feet.

`(3)/(4)=(66)/(x)`

i.e.
`x=(66* 4)/(3)`

i.e.
`x=(264)/(3)`

i.e. x= 88 feet

Thus, the perimeter of the other polygon is 88 feet.