SOLUTION: the perimeter of a rectangle is 38 inches, and the area is 84 inches. find the length and width of the rectangle.

Algebra ->  Rectangles -> SOLUTION: the perimeter of a rectangle is 38 inches, and the area is 84 inches. find the length and width of the rectangle.      Log On


   



Question 996664: the perimeter of a rectangle is 38 inches, and the area is 84 inches. find the length and width of the rectangle.
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
L
W
units in inches
LW=84
2L+2W=38
L+W=19
L=19-W
19W-W^2=84;;;W^2-19W+84=0
(W-12)((W-7)=0
W=7, 12
The longest is length.
The rectangle is 7 inches x 12 inches
Area is 84 sq in.