SOLUTION: Please help!
The length of a rectangle is 1 cm longer than its width. If the diagonal of the rectangle is 5 cm, what are the dimensions of the rectangle in centimeters rounded
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The length of a rectangle is 1 cm longer than its width. If the diagonal of the rectangle is 5 cm, what are the dimensions of the rectangle in centimeters rounded
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Question 181915: Please help!
The length of a rectangle is 1 cm longer than its width. If the diagonal of the rectangle is 5 cm, what are the dimensions of the rectangle in centimeters rounded to the nearest tenth? Answer by nerdybill(7384) (Show Source):
You can put this solution on YOUR website! The length of a rectangle is 1 cm longer than its width. If the diagonal of the rectangle is 5 cm, what are the dimensions of the rectangle in centimeters rounded to the nearest tenth?
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You must apply Pythagorean theorem:
Let w = width
then
w+1 = length
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Pythagorean theorem:
w^2 + (w+1)^2 = 5^2
w^2 + w^2+2w+1 = 25
2w^2+2w+1 = 25
2w^2+2w-24 = 0
w^2+w-12 = 0
(w-4)(w+3) = 0
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w = {4,-3}
Throw out the negative value...
w = 4.0 cm (width)
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Length:
w+1 = 4+1 = 5.0 cm (length)
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