Question

Two polygons are similar. The perimeter of the smaller polygon is 48 centimeters and the ratio of the corresponding side lengths is 2/3 . Find the perimeter of the other polygon.

Answer 1

72 cm

Explanation:

Given in the question, there are two similar polygons and the ratio of the corresponding side lengths is 2/3.

Perimeter of the smaller polygon = 48 cm

let perimeter of the larger polygon = x cm

We know that if two polygons are similar, then the ratio of their perimeters is equal to the ratios of their corresponding side lengths.

So,

Perimeter of smaller polygon / Perimeter of larger polygon = 2 / 3

48 / x = 2 / 3

48(3) = 2(x)

144 = 2x

x = 72 cm

Answer 2

= 72 cm

Explanation:

The ratio of lengths of two similar figures is called the linear scale factor.

In this case, the linear scale factor is 2/3

The linear scale factor is also equivalent to the ratio of the perimeter of two similar figures.

Therefore, 2/3 = 48/x

x = 48 × 3/2

= 72 cm

The perimeter of the other polygon is 72 cm