A rectangular rug has an area of 84 square feet. If its length is 2 feet more than twice its width, find the dimensions of the rug.
1 answer:
L=2W+2
W=(L-2)/2
A=LW, using W from above makes this
A=L(L-2)/2
2A=L^2-2L
L^2-2L-2A=0, given A=84
L^2-2L-168=0
(L-14)(L+12)=0, since L>0
L=14
The length of the rug is 14 ft
(W=(L-2)/2=6 ft)
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