The perimeter of a rectangle is 44 inches, and its area is 105 square inches. find the length and width of the rectangle.

Perimeter = (Length + Width) x2

Area = LengthxWidth

P = (L+W) x2

P/2=L+W

L=P/2 - W

Area = (P/2 - W) (W)

A=WP/2-W^2

105=W (44) / 2 - W^2

105=22W - W^2

W^2-22W+105=0

(W-7) (W-15) = 0

Width = 7 or 15

A=LxW

105=Lx7

105/7=L

L=15

Length is 15 inches, Width is 7 inches.