Question 666303: The length of a rectangle is three times the width . The perimeter is 120 . What are the dimensions of the retangle
Answer by Leaf W.(135) (Show Source):
You can put this solution on YOUR website! Let us call the rectangle's width "w."
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If the length is three times the width, then the length can be called 3w.
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The perimeter is calculated by the sum of all four sides of the rectangle, or width + length + width + length. Using the variables above, we can say that the perimeter is w + 3w + w + 3w = 120 (as the problem states the perimeter is 120).
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Add all the "w" terms together: 8w = 120
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Divide both sides by 8: w = 15
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Therefore, the width of the rectangle is 15. Since the length is three times the width, we can use this to find the length: 3w = 3(15) = 45.
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The dimensions of the rectangle are
width: 15
length: 45
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