Solve the problem
-The area of a square is numerically 5 more than the perimeter. Find the length of the side.
A) 20 units
B) 50 units
C) 13 units
D) 5 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 5 more than the perimeter, so $s^2 = 4s + 5$. Rearranging, we get $s^2 - 4s - 5 = 0$. Factoring or using the quadratic formula, we find $s = 5$ or $s = -1$. Since a side length cannot be negative, $s = 5$ units is the correct answer.

Solve the Problem -The Area of a Square Is Numerically 5 More Than