Answer:
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 [tex](\frac{3}{4})^{2}=\frac{9}{16}[/tex]
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 : [tex]\frac{x}{320}=\frac{9}{16}[/tex]
[tex]16x=320*9[/tex]
This gives x = 180
Hence, the area of the smaller polygon is 180 square meter.
