SOLUTION: the perimeter of a rectangle is 14 centimeters. twice the width is equal to one third of the length. find the length and width.

Question 1009628: the perimeter of a rectangle is 14 centimeters. twice the width is equal to one third of the length. find the length and width.
Answer by macston(5194) (Show Source): You can put this solution on YOUR website!
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L=length; W=width; P=perimeter=14cm
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2W=(1/3)L . Multiply each side by 3.
6W=L . Use this to substitute for L.
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P=2(L+W)
14cm=2(L+W)
7cm=L+W . Substitute for L from above.
7cm=6W+W
7cm=7W
1cm=W
ANSWER 1: The width is 1 cm.
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L=6W=6(1cm)=6cm
ANSWER 2: The length is 6 cm.
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CHECK:
P=2(L+W)
14cm=2(6cm+1cm)
14cm=2(7cm)
14cm=14cm

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