ANSWER
49:16
EXPLANATION
If the similarity ratio is
7:4
Then, the scale factor is
[tex] k= \frac{7}{4} [/tex]
The scale factor for the area is
[tex] {k}^{2} = \frac{ {7}^{2} }{ {4}^{2} } [/tex]
[tex] {k}^{2} = \frac{49}{16} [/tex]
Therefore the ratio of their areas is:
49:16
