The area of a square is numerically 77 more than the perimeter. Find the length of the side.
A) 44 units
B) 11 units
C) 242 units
D) 61 units

Question

Quizplus · Accepted Answer

The area of a square with side length $s$ is $s^2$, and the perimeter is $4s$. The equation based on the given information is $s^2 = 4s + 77$. Rearranging gives $s^2 - 4s - 77 = 0$. Factoring or using the quadratic formula, we find $s = 11$ as the positive solution, since side length cannot be negative.

The Area of a Square Is Numerically 77 More Than