Question 543599: a rectangle has the length that is two thirds its width. If the perimeter of the rectangle is 40 meters, what is the length of the rectangle?
Answer by lmeeks54(111)   (Show Source):
You can put this solution on YOUR website! Let L = the length
Let W = the width
Let P = the perimeter
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The formula for the perimeter of a rectangle is P = 2L + 2W
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Given:
P = 40 meters
L = 2/3W
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Let's substitute the values for P and L into our formula for the perimeter and solve for W. After that, we can solve for L.
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P = 2L + 2W = 40 m
2(2/3W) + 2W = 40
4/3W + 2W = 40
10/3W = 40
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Multiply both sides by 3/10:
10/3W(3/10) = 40(3/10)
W = 12 m
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L = 2/3W
L = 2/3(12)
L = 8 m
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The answer to the question is L = 8 meters; however, it is best to always check your work.
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P = 40 = 2(8) + 2(12)
40 = 16 + 24
40 = 40 checks
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cheers,
Lee
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