The area of a square is numerically 21 more than the perimeter. Find the length of the side.
A) 25 units
B) 98 units
C) 7 units
D) 28 units

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 equation based on the given information is $s^2 = 4s + 21$. Rearranging, we get $s^2 - 4s - 21 = 0$. Factoring, we find $s = 7$ or $s = -3$. Since a side length cannot be negative, $s = 7$ units is the correct answer.

The Area of a Square Is Numerically 21 More Than