# 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?

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 Geometry: Rectangles Solvers Lessons Answers archive Quiz In Depth

 Click here to see ALL problems on Rectangles 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 . but l= w+8,,,,,subst . A= (w+8)(w) = w^2 +8w . but A=48,,,so 48 = w^2 +8w,,,,,or . w^2 +8w -48 =0,,,,factor . (w+12)(w-4) = 0 . w= 4,,,,-12(not practical) . and,, L= 8+w = 8+4 =12 . . check ,,,A=12 *4 = 48,,,,ok .