Solve the problem.
-The area of a square is numerically 117 more than the perimeter. Find the length of the side.
A) 85 units
B) 338 units
C) 52 units
D) 13 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 $s^2 = 4s + 117$. Rearranging, we get $s^2 - 4s - 117 = 0$. Factoring or using the quadratic formula, we find $s = 13$ as the positive solution that makes sense in this context.

Solve the Problem. -The Area of a Square Is Numerically 117 More Than