Question

If the perimeter of a square is sixty-four miles, what is its area?

8 square miles

thirty-two square miles

sixty-four square miles

two hundred fifty-six square miles


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help

Answer 1

A square has four sides of equal length. So if \(x\) is the length of one side, and the perimeter \(P\) is the sum of all side lengths, then \(P=4x\).

The area \(A\) of a square is the product of its height and length. Since these two are the same, you have \(A=x\times x=x^2\).

You're given that the perimeter is 64. So, plug that into the perimeter equation above and solve for \(x\). Then plug in this \(x\) into the area equation.

Answer 2

256

Answer 3

Yes, correct