Question 502188: The Length of a rectangular garden is 4m greater than the width. Th area of the Garden is 96m squared. Find the length and the width.
I can get to the part of w(w+4)=96
Answer by oberobic(2304)   (Show Source):
You can put this solution on YOUR website! L = length
W = width
L = W +4
A = 96 m^2
A = L*W
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substitute for L
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(W+4)(W)=96
W^2 +4W - 96 = 0
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factor
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(W-8)(W+12)=0
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So,
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W = 8 or -12
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You cannot have negative width, so W =8.
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L = W+4
L = 12.
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8*12 = 96, so the area is correct and,
12 is 4 more than 8.
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Answer: Length = 12 m; Width = 8 m.
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Done.
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