Question

the area of a square shed is 81 square feet. how long is each side? feet

Explanation:

Step1: Recall the area formula for a square

The area formula for a square is \(A = s^{2}\), where \(A\) is the area and \(s\) is the side - length. Given \(A = 81\) square feet.

Step2: Solve for \(s\)

We have the equation \(s^{2}=81\). Taking the square root of both sides, \(s=\sqrt{81}\). Since the side - length of a square is non - negative, \(s = 9\) (because \(9\times9 = 81\) and \((- 9)\times(-9)=81\), but length cannot be negative).

Answer:

9