SOLUTION: The perimeter of a rectangle is 78 meters. The length of the rectangle is 11 meters longer than triple the width. Find the dimensions of the rectangle

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Question 108524: The perimeter of a rectangle is 78 meters. The length of the rectangle is 11 meters longer than triple the width. Find the dimensions of the rectangle
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
1.P=2W%2B2L=78 Perimeter of a rectangle using length and width.
2.L=11%2B3W Relationship between L and W.
Substitute in 1 for L using 2.
1.2W%2B2L=78
2W%2B2%2811%2B3W%29=78
2W%2B22%2B6W=78
8W%2B22=78
8W=56
highlight%28W=7%29
2.L=11%2B3W
L=11%2B3%287%29
L=11%2B21
highlight%28L=32%29
Check your answer using 1.
2W%2B2L=78
2%287%29%2B2%2832%29=78
14%2B64=78
78=78
True statement.
Good answers.