SOLUTION: The length of a rectangle is 4 times the width. The perimeter is 35 meters Find the width.

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Question 786793: The length of a rectangle is 4 times the width. The perimeter is 35 meters Find the width.
Answer by MathLover1(20855) About Me  (Show Source):
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The length L of a rectangle is 4 times the width W:
L=4W
The perimeter P=35m
Find the width.
P=2%28L%2BW%29 ....substitute P=35m and L=4W
35m=2%284W%2BW%29 ......solve for W
35m%2F2=5W
17.5m=5W
17.5m%2F5=W
W=3.5m%2F5
now we can find L
L=4W
L=4%2A3.5m
L=14m
check the perimeter
P=2%28L%2BW%29
P=2%2814m%2B3.5m%29
P=2%2817.5m%29
P=35m which confirms our solution