SOLUTION: the length of a rectangle is 6m less than twice its breadth. if the perimeter of the rectangle is 54m, find the length and breadth.

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Question 949071: the length of a rectangle is 6m less than twice its breadth. if the perimeter of the rectangle is 54m, find the length and breadth.
Answer by macston(5194) About Me  (Show Source):
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B=breadth; L=length=2B-6 m; P=perimeter=2(L+B)=54 m
P=2(L+B)
54 m=2(L+B) Substitute for L
54 m=2((2B-6)+B) Divide each side by 2
27 m=3B-6 Add 6 to each side.
33 m=3B Divide each side by 3
11 m=B ANSWER 1: The breadth is 11 meters.
L=2B-6 m=2(11 m)-6 m=22m-6m =16 m ANSWER 2: The length is 16 meters.
CHECK:
P=2(L+B)
54 m=2(16 m + 11 m)
54 m=2(27 m)
54 m=54 m