The area of a square is 45 more than the perimeter. How do you find the length of the side?

Jan 29, 2016

Write an equation to represent the problem.

Explanation:

Assuming c represents side length.

${c}^{2}$ = 4c + 45

Put everything to one side of the equation and solve.

${c}^{2}$ - 4c - 45 = 0

(c - 9)(c+ 5) = 0

c = 9 and -5

Since a negative side length is not possible, the square's side measures 9.

Practice exercises:

1. A square has an area that measures 12 more than the perimeter. Find the side length.

2. System of equations: A rectangle has a perimeter of 34 and an area of 70. Find the dimensions of the rectangle.

Good luck!