Question

The similarity ratio of two similar polygons is 7:4.

Find the ratio of their areas.

49:16
4:1
4:8
7:4

Answer 1

49:16

Step-by-step explanation

If the similarity ratio is

7:4

Then, the scale factor is

`k= (7)/(4)`

The scale factor for the area is

`{k}^(2) = \frac{ {7}^(2) }{ {4}^(2) }`

`{k}^(2) = (49)/(16)`

Therefore the ratio of their areas is:

49:16