SOLUTION: The area of a rectangle is 48 square centimeters. If the length of the rectangle is 8 centimeters longer than the width, how wide is the rectangle?

Question 213807: The area of a rectangle is 48 square centimeters. If the length of the rectangle is 8 centimeters longer than the width, how wide is the rectangle?
Answer by RAY100(1637) (Show Source): You can put this solution on YOUR website!
Area = Length * Width
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but l= w+8,,,,,subst
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A= (w+8)(w) = w^2 +8w
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but A=48,,,so 48 = w^2 +8w,,,,,or
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w^2 +8w -48 =0,,,,factor
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(w+12)(w-4) = 0
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w= 4,,,,-12(not practical)
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and,, L= 8+w = 8+4 =12
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check ,,,A=12 *4 = 48,,,,ok
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