Similar Polygon

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

We can use the scale factor to solve this problem.

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

We are given that the scale factor is 2/3.

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

So now we have:

2/3 = 48/x

Solving for x we get x = (3/2)*48 = 72cm

Thus the perimeter of the other polygon is 72cm.