A rectangular closet has an area of 10 square feet and a perimeter of 14 feet. What are the dimensions of the closet?

Question

A rectangular closet has an area of 10 square feet and a perimeter of 14 feet. What are the dimensions of the closet?

Answer 1

A = 10= LW, L=10/W

P=14 = 2L+2W = 2(10/W) + 2W = 20/W + 2W

14= 20/W + 2W

7= 10/W + W

W^2 + -7W + 10

(W-5)(W-2) =0

W = 2 or 5

dimensions are 2 by 5 feet