Question

If each side of a square measures (32 + 8) write an equation you could use to find the area of the square.

9x^3+24x+64

9x^2+64

9x^2+48x+64

6x+16

Answer 1

A = 9x² + 48x + 65

Explanation:

Area of a Square Formula: A = lw

Since a square's length is equal to its width, we simply plug it into the formula:

A = (3x + 8)(3x + 8)

Then we simply use FOIL to expand the distribution)

First - 3x(3x) = 9x²

Outside - 8(3x) = 24x

Inside - 8(3x) = 24x

Last - 8(8) = 64

Lastly, we combine like terms

9x² + 24x + 24x + 64

9x² + 48x + 64