# SOLUTION: if a rectangle has a diagonal of 40 inches what is the height and width if the width is 8 inches longer than the height?

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 Question 469112: if a rectangle has a diagonal of 40 inches what is the height and width if the width is 8 inches longer than the height?Answer by Tatiana_Stebko(1326)   (Show Source): You can put this solution on YOUR website!Let x is the height of a rectangle If the width is 8 inches longer than the height, then the width is inches Use the Pythagorean theorem divide by 2 inches is the height of a rectangle the extraneous root The height of a rectangle is 24 inches, the width is 24+8=32 inches Answer: 24 inches, 32 inches