Question

If the ratio of the sides of 2 squares is 2:3, find the ratio of their areas.

Answer 1

Step-by-step explanation:

If I have a square with sides of 2m, it has an area of 4m^2.

If I have a square with sides of 3m, it has an area of 9m^2.

You might divide 4 by 9 to get the ratio of areas.

A more "mathematical" approach is look at the equation for the area of a square...

`A = a^2` where a is the length of the side of the square.

I could setup a ratio of the area of two squares as...

`(A_2)/(A_3) = (a_2^2)/(a_3^2)`