SOLUTION: The length of a rectangle is 8m more than 6 times the width. The perimeter is 156m.Find the length and the width.

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Question 664198: The length of a rectangle is 8m more than 6 times the width. The perimeter is 156m.Find the length and the width.
Answer by ReadingBoosters(3246) About Me  (Show Source):
You can put this solution on YOUR website!
l = 8+6w
p = 156 = 2l+2w
Plug length into the second eqution
2(8+6w) + 2w = 156
Distribute the 2
16 + 12w + 2w = 156
Combine like terms
14w = 156 - 16
14w = 140
w = 10 m
l = 6(10)+8= 68 m
...
check
2(10) + 2(68) = 20 + 136 = 156
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