Question

The ratio of the sides of two smaller polygons is 4:5. Find the ratio of the areas.

Answer 1

Given that the ratio of the sides of two smaller polygons is 4:5

To Determine: The ratio of the areas

Solution:

Note that if the ratio of the sides of two similar shapes is a : b, then the ratio of their areas would be a² : b²

It was given in the question that the ratio of the sides of two smaller polygons is 4:5. Then, their areas would be

`\begin{gathered} 4^2\colon5^2 \\ =16\colon25 \end{gathered}`

Hence, the ratio of the areas is 16 : 25