Question

the ratio of the length of the corresponding side of two regular polygons is 3:4. The area of the larger polygon is 320m. what is the are of the smaller polygon

Answer 1

180m²
the ratio of the side is 3/4,so the ratio of the area will be 9/16

Answer 2

The answer is 180 sq m.

Explanation:

As given, the ratio of the length of the corresponding side of two regular polygons is 3:4. So, the ratio of areas is
`((3)/(4))^(2)=(9)/(16)`

The area of the larger polygon is 320m. So, let the area of the smaller polygon be = x

As the ration is 9:16 , we can say that :
`(x)/(320)=(9)/(16)`

`16x=320*9`

This gives x = 180

Hence, the area of the smaller polygon is 180 square meter.