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. Find the perimeter of the other polygon.

Answer 1

The perimeter of other polygon is 88 feet

Solution:

Given that,

Two polygons are similar

The perimeter of the smaller polygon is 66 feet

Ratio of the corresponding side lengths is $\frac{3}{4}$

If two polygons are similar, then the ratio of their perimeters is equal to the ratios of their corresponding side lengths

Let the perimeter of other polygon be "x"

Then, we get,

$\frac{66}{x} = \frac{3}{4}\\\\\text{Cross multiply and solve for x}\\\\66 \times 4 = 3 \times x\\\\x = 22 \times 4\\\\x = 88$

Thus perimeter of other polygon is 88 feet