SOLUTION: A rectangle has an area of 12 square inches, and the length is 11 inches more than the width. Find the length and width of the rectangle. If x represents the width of the rectan

Algebra ->  Rectangles -> SOLUTION: A rectangle has an area of 12 square inches, and the length is 11 inches more than the width. Find the length and width of the rectangle. If x represents the width of the rectan      Log On


   

Question 950391: A rectangle has an area of 12 square inches, and the length is 11 inches more than the width. Find the length and width of the rectangle.
If x represents the width of the rectangle, select all the equations that could be used to solve this problem.
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
A rectangle has an area of 12 square inches, and the length is 11 inches more than the width. Find the length and width of the rectangle.
If x represents the width of the rectangle, select all the equations that could be used to solve this problem.
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width = x
length = x+11
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Equation:
x(x+11) = 12
x^2 + 11x - 12 = 0
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Factor::
(x+12)(x-1) = 0
Positive solution:
width = x = 1 in
length = x+11 = 12 in
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Cheers,
Stan H.
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