# SOLUTION: If the width of a rectangle is 1 inch less than its length and the diagonal is 1 inch longer than its length, find the length and the width.

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 Click here to see ALL problems on Miscellaneous Word Problems Question 211757: If the width of a rectangle is 1 inch less than its length and the diagonal is 1 inch longer than its length, find the length and the width. Answer by RAY100(1637)   (Show Source): You can put this solution on YOUR website!Let,,,Length = L Width = L-1 Diagonal = L+1 . . Diagonal is hypotenuse of a right triangle, therefore use the pythagorian theorem, . c^2 = a^2 + b^2 . (L+1)^2 = (L)^2 + (L-1)^2 . L^2 +2L +1 = L^2 + L^2 -2L +1 . L^2 - 4L =0 . L (L-4) =0 . L=4,,,,0 (not realistic) . L=4, W=3, Dia = 5 . check,,5^2 = 3^2 + 4^2 ,,,,,ok .