Solve the problem.
-The area of a square is numerically 60 more than the perimeter. Find the length of the side.
A) 10 units
B) 200 units
C) 40 units
D) 50 units

Question

Solve the problem.
-The area of a square is numerically 60 more than the perimeter. Find the length of the side. 
A) 10 units
B) 200 units
C) 40 units
D) 50 units

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 $s^2 = 4s + 60$. Rearranging, we get $s^2 - 4s - 60 = 0$. Factoring or using the quadratic formula, we find $s = 10$ or $s = -6$. Since a side length cannot be negative, $s = 10$ units is the correct answer.

Solve the Problem. -The Area of a Square Is Numerically 60 More Than