SOLUTION: The length of a rectangle is 1 cm less than three times the width. The area of the rectangle is 44cm^2. Find the dimensions.

Question 535357: The length of a rectangle is 1 cm less than three times the width. The area of the rectangle is 44cm^2. Find the dimensions.
Answer by oberobic(2304) (Show Source): You can put this solution on YOUR website!
A = L*W
A = 44 cm^2
L = 3W -1
.
subsitute
.
(3W-1)*W = 44
3W^2 -W = 44
3W^2 -W -44 = 0
.
factor
.
(3W+11)(W-4) = 0
.
That means W = -11/3 or 4
.
Negative width makes no sense, so we select W = 4.
.
L = 3*4-1 = 11
.
Answer: Length = 11, Width = 4.
.
Done.
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