SOLUTION: Hi can someone help me? The length of a rectangle is 6 meters more than its width. If the area is 91 square meters, what are the length and width?

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Question 491537: Hi can someone help me?
The length of a rectangle is 6 meters more than its width. If the area is 91 square meters, what are the length and width?

Answer by oberobic(2304) About Me  (Show Source):
You can put this solution on YOUR website!
A = L*W
A = 91
L = W+6
.
(W+6)*W = 91
W^2 + 6W = 91
W^2 +6W -91 = 0
Factor
(W - 7)(W + 13) = 0
Apply FOIL
W^2 +13W -7W -91 = 0
W^2 + 6W - 91 = 0
Correct.
.
So, W equals either 7 or -13.
A negative width does not make sense, so:
W = 7
.
L = W + 6
L = 13
.
Answer:
Width = 7
Length = 13
.
Done