Question

The side of polygone have length 5,7,8,11&9, the perimeter of similar polygone is 75cm ,finde the length of the side of large polygon?

Answer 1

The side lengths of the larger polygon are;

15 cm

20.625 cm

16.875 cm

9.375 cm

13.125 cm

Explanation:

Firstly, we need to calculate the perimeter of the first polygon

Mathematically, we can get this by adding the side lengths together

We have this as;

5 + 7 + 8 + 11 + 9

= 40 cm

so we have the ratio of the lengths of both as;

75 cm/40 cm = 1.875

Now, we simply will multiply the lengths of the smaller polygon by 1.875

So we have the side lengths of the bigger polygon as;

1.875 * 5 = 9.375 cm

1.875 * 7 = 13.125 cm

1.875 * 8 = 15 cm

1.875 * 9 = 16.875 cm

1.875 * 11 = 20.625 cm