A rectangular closet is three feet longer than twice the width. The area of the closet is 65 square feet. Find the perimeter of the closet.

Answer 1

Width = X ft.
Length = 2x+3 Ft.

A = L*W = (2x+3)x = 65.
2x^2+3x = 65,
2x^2 + 3x - 65 = 0,
Use Quadratic Formula:
X = (-3 +- sqrt(9 + 520))/4

X = (-3 +- 23)/4 = 5, and -6.5.
X = 5 Ft. = Width.

Length = 2*5 + 3 = 13 Ft.

P = 2L + 2W.