SOLUTION: The width of a rectangle is 4 cm less than its length. The area of the rectangle is 96 CM ^2. Find the legnth and width of the rectangle. I think the equation is (L-4) * L = 9

Algebra ->  Rectangles -> SOLUTION: The width of a rectangle is 4 cm less than its length. The area of the rectangle is 96 CM ^2. Find the legnth and width of the rectangle. I think the equation is (L-4) * L = 9      Log On


   



Question 290564: The width of a rectangle is 4 cm less than its length. The area of the rectangle is 96 CM ^2. Find the legnth and width of the rectangle.
I think the equation is
(L-4) * L = 96 CM ^2
L^2 - 4L=96
How do I get rid of the 4L? So I can take the square root of the number on the right? Is the second step of the formula correct?my formalus

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
The width of a rectangle is 4 cm less than its length. The area of the rectangle is 96 CM ^2. Find the length and width of the rectangle.
I think the equation is
(L-4) * L = 96 CM ^2
L^2 - 4L=96
How do I get rid of the 4L?
Subtract 96 from both sides:
L^2-4L-96 = 0
(L+8)(L-12) = 0
Positive solution:
Length = 12 cm
Width = L-4 = 8 cm
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Cheers,
Stan H.
So I can take the square root of the number on the right? Is the second step of the formula correct?my formalus
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