SOLUTION: The length of a rectangle is twice the width and its diagonal is 4(root 5) meters long. Find the dimensions of the rectangle. Draw a picture showing the dimensions.

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Question 987167: The length of a rectangle is twice the width and its diagonal is
4(root 5) meters long. Find the dimensions of the rectangle. Draw a picture showing the dimensions.
Answer by macston(5194) About Me  (Show Source):
You can put this solution on YOUR website!
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The width and length are legs of a right triangle, with the diagonal as hypotenuse.
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W=width; L=length=2W; D=diagonal=4sqrt%285%29
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L%5E2%2BW%5E2=D%5E2
%282W%29%5E2%2BW%5E2=%284sqrt%285%29%29%5E2
4W%5E2%2BW%5E2=16%285%29
5W%5E2=80
W%5E2=16
W=4
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ANSWER 1: The width is 4 meters.
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L=2W=2(4 meters)=8 meters
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ANSWER 2: The length is 8 meters