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(1539) (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
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