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

The answer is 180 sq m.

Step-by-step 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

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 :

This gives x = 180

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