Solve the problem.
-The area of a square is numerically 12 more than the perimeter. Find the length of the side.
A) 18 units
B) 24 units
C) 6 units
D) 72 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 problem states that the area is 12 more than the perimeter, so we have the equation $s^2 = 4s + 12$. Rearranging, we get $s^2 - 4s - 12 = 0$. Factoring or using the quadratic formula, we find that $s = 6$ is the positive solution that makes sense in this context.

Solve the Problem. -The Area of a Square Is Numerically 12 More Than