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

Question

2824 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2016-01-29T15:17:49

Write an equation to represent the problem.

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:

A square has an area that measures 12 more than the perimeter. Find the side length.
System of equations: A rectangle has a perimeter of 34 and an area of 70. Find the dimensions of the rectangle.

Good luck!