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

ANSWER

49:16

EXPLANATION

If the similarity ratio is

7:4

Then, the scale factor is

$k= \frac{7}{4}$

The scale factor for the area is

${k}^{2} = \frac{ {7}^{2} }{ {4}^{2} }$

${k}^{2} = \frac{49}{16}$

Therefore the ratio of their areas is:

49:16