SOLUTION: if the length of the rectangle is one foot less than the width and the area is 12ft squared ,find the dimensions.

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Question 551373: if the length of the rectangle is one foot less than the width and the area is 12ft squared ,find the dimensions.

Answer by nerdybill(7384) About Me  (Show Source):
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if the length of the rectangle is one foot less than the width and the area is 12ft squared ,find the dimensions.
.
Let w = width
then
w-1 = length
.
w(w-1) = 12
w^2-w = 12
w^2-w-12=0
factoring:
(w+3)(w-4) = 0
w = {-3,4}
throw out the -3 leaving:
w = 4 feet (width)
.
Length:
w-1 = 4-1 = 3 feet (length)
.
solution:
4 feet by 3 feet