SOLUTION: the length of a rectangle is 75 meters less than twice the width the perimeter is 600 meters find the length and width of the rectangle

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Question 1051777: the length of a rectangle is 75 meters less than twice the width the perimeter is 600 meters find the length and width of the rectangle
Answer by ikleyn(52754) About Me  (Show Source):
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the length of a rectangle is 75 meters less than twice the width the perimeter is 600 meters find the length and width of the rectangle
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Let W be the width of the rectangle. Then the length is 2W - 75.

The perimeter is

600 = 2W + 2*(2W-75),  or

600 = 2W + 4W - 150,

600 + 150 = 6W,

W = 750%2F6 = 125. Thus we found the width.

Then the length is 2W - 75 = 2*125-75 = 250-75 = 175.

Answer. The length is 175 m. The width is 125 m.

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    - Solved problems on the perimeter and side lengths of a rectangle
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