Question

A side of a square is A = 8^(3/2) inches. Using the area formula A = s2, determine the area of the square.?A = 24 square inches A = 64 square inches A = 512 square inches A = 576 square inches

Answer 1

512 square inches

Explanation:

If A = s², and
`s=8^{(3)/(2)}`, then

`A=s^2=(8^{(3)/(2)})^2` and

`A=s^2=8^{(6)/(2)}` which simplifies to

`A=s^2=8^3` which simplifies to

`A=s^2=512`

Therefore, if
`A=s^2` and
`s^2=512`, then

A = 512 square inches