Question

40.

Two similar squares have matching sides whose lengths are in the ratio 7:5 Find the ratio of their areas.

Answer 1

49:25

Explanation:

When you have a side length ratio given, the area ratio will be the side length ratio squared.

This can be thought of quite easily, say you have 1 square with a side length of 7 and another square with a sidelength 5.

Of course the squares have a side length ratio of 7:5

The area of the first square is 7*7 = 49

The area of the second square is 5*5 = 25

Then clearly the ratio of the areas is 49:25