Solve the problem.
-The area of a square is numerically 96 more than the perimeter. Find the length of the side.
A) 12 units
B) 288 units
C) 72 units
D) 48 units

Question

Quizplus · Accepted Answer

The area of a square is given by $s^2$ and the perimeter by $4s$, where $s$ is the side length. The equation based on the given information is $s^2 = 4s + 96$. Rearranging, we get $s^2 - 4s - 96 = 0$. Factoring or using the quadratic formula, we find $s = 12$ or $s = -8$. Since a side length cannot be negative, $s = 12$ units is the correct answer.

Solve the Problem. -The Area of a Square Is Numerically 96 More Than