Answered

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

Sagot :

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...

[tex]A = a^2[/tex] where a is the length of the side of the square.

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

[tex]\frac{A_2}{A_3} = \frac{a_2^2}{a_3^2}[/tex]

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