SOLUTION: the perimeter of a rectangle is 40 inches and its area is 91 square inches find the length and width of the rectangle. solve step by step. There are 10 steps

Question 1077369: the perimeter of a rectangle is 40 inches and its area is 91 square inches find the length and width of the rectangle. solve step by step. There are 10 steps
Answer by math_helper(2461) (Show Source): You can put this solution on YOUR website!
2L + 2W = 40 (1) �> L+W=20
LW = 91 (2)
L = 91/W �> Substitute this into (1):
(91/W) + W = 20
<� multiplied both sides by W

W=7 or W=13
W=7 �> L=13
W=13 �> L=7 (let's reject this as L>W is the convention when describing rectangles)
�
Ans: L=13in, W=7in
�
Check: Area = LxW = 13in*7in = 91 sq in (ok)
Perimeter = 2L+2W=2(13in) + 2(7in) = 26in+14in = 40in (ok)
�

RELATED QUESTIONS
the perimeter of a rectangle is 30 inches, and its area is 56 square inches .find the... (answered by hheuler)

the perimeter of a rectangle is 41 inches and its area is 91 square inches. find the... (answered by amoresroy)

The length of a rectangle is 6 inches more than its width. The area of the rectangle... (answered by checkley79)

The perimeter of a rectangle is 40 inches, and the area is 84 square inches. Find the... (answered by josgarithmetic)

The perimeter of a rectangle is 34 inches, and its area is 70 square inches. Find the... (answered by checkley79)

If the perimeter of a rectangle is 104 inches and the length of the rectangle is 6 inches (answered by mananth)

The perimeter of a rectangle is 44 inches and its area is 112 square inches. Find the... (answered by stanbon)

the perimeter of a rectangle is 38 inches and its area is 70 square inches. find the... (answered by josgarithmetic)

The area of a rectangle is 91 square centimeters. Its length is x+2 and its width is x-4. (answered by Aldorozos,addingup)