SOLUTION: Find the dimensions of a rectangular Persian rug whose perimeter is 22 ft and whose area is 30 ft^2. The Persian rug has a length of ___ ft and a wide of ___ ft.

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Question 1026696: Find the dimensions of a rectangular Persian rug whose perimeter is 22 ft and whose area is 30 ft^2.
The Persian rug has a length of ___ ft and a wide of ___ ft.

Answer by macston(5194) About Me  (Show Source):
You can put this solution on YOUR website!
.
L=length; W=width
.
P=2(L+W)
22ft=2(L+W)
11ft=L+W
11ft-W=L
.
A=LW
30ft%5E2=LW
30ft%5E2=%2811ft-W%29%28W%29
30=11W-W%5E2
W%5E2-11W%2B30=0
%28W-5%29%28W-6%29=0
W-5=0 OR W-6=0
W=5 OR W=6
.
If width = 5 feet:
11 ft-W=L
11 ft-5 ft=L
6 ft=L
.
If width = 6 ft:
11 ft-W=L
11 ft-6 ft=L
5 ft=L
.
The dimensions of the rug are 5 feet by 6 feet.
(or 6 feet by 5 feet)