SOLUTION: The length of a rectangle is 6 yards longer than triple the width. I f the perimeter of the rectangle is 340 yards, what are its dimensions

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Question 224992: The length of a rectangle is 6 yards longer than triple the width. I f the perimeter of the rectangle is 340 yards, what are its dimensions
Answer by LtAurora(115) About Me  (Show Source):
You can put this solution on YOUR website!
Perimeter is:
2L%2B2W=340
From the relation given we can write:
L=3W%2B6
Plug this back into the initial equation:
2%283W%2B6%29%2B2W=340
Simplify:
6W%2B12%2B2W=340
Combine like terms:
8W%2B12=340
Move the 12 to the other side:
8W=328
Divide both sides by 8:
W=41
Plug this back into our relation to determine L:
L=3%2A41%2B6
L=129
We can check this by adding our sides to determine the perimeter is 340:
129%2B129%2B41%2B41=340, so we are correct.