Question

Two photos are similar. The ratio of the corresponding side lengths is $3:4$. What is the ratio of the areas?

Answer 1

Find the ratio of the areas.

Given, ratio of the corresponding side length is $3:4$.

Since, we know that when two figures are similar then,

$\Rightarrow \frac{AreaoffigureA}{AreaoffigureB}={\left(\frac{sidelengthoffigureA}{sidelengthoffigureB}\right)}^2$

Using the above criteria for similar figures,

$\Rightarrow \frac{AreaoffigureA}{AreaoffigureB}={\left(\frac{3}{4}\right)}^2=\frac{9}{16}$

Hence, the ratio of the areas of the figures are $\frac{9}{16}$.