The area of a square lawn is numerically 12 feet more than the perimeter. Find the length of the side.
A) 72 feet
B) 24 feet
C) 6 feet
D) 18 feet

Question

Quizplus · Accepted Answer

The area of a square is given by $s^2$ and the perimeter is given by $4s$, where $s$ is the side length. The problem states that the area is numerically 12 feet 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, as side lengths cannot be negative.

The Area of a Square Lawn Is Numerically 12 Feet