SOLUTION: The width of a rectangle is half the length.. Find the width and length if the perimeter is 126 m.

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Question 941733: The width of a rectangle is half the length.. Find the width and length if the perimeter is 126 m.
Answer by macston(5194) About Me  (Show Source):
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Length=L; Width=W=L/2; Perimeter=P=2L+2W
P=2L+2W=126 m Substitute for W, solve for L
2L+2(L/2)=126 m
2L+L=126 m
3L=126 m
L=42 m ANSWER 1 Length of rectangle is 42 meters
W=L/2=42 m/2=21 m ANSWER 2 Width of rectangle is 21 meters
CHECK
P=2L+2W
126 m=2(42 m)+2(21 m)
126 m=84 m+42 m
126 m=126 m