SOLUTION: The length of a rectangle is equal to 3 more than 3 times the width. The perimeter is 54 ft. What are the length and width of the rectangle

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Question 909321: The length of a rectangle is equal to 3 more than
3 times the width. The perimeter is 54 ft. What
are the length and width of the rectangle
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

The length of a rectangle, L, is equal to 3 more than
3 times the width, W.
L=3W%2B3ft ....eq.1

The perimeter, P, is 54ft.
P=2%28L%2BW%29 ..substitute L=3W%2B3 and P=54ft
54ft=2%283W%2B3ft%2BW%29 ...solve for W
54ft=2%284W%2B3ft%29
54ft%2F2=%284W%2B3ft%29
27ft-3ft=4W
24ft=4W
24ft%2F4=W
highlight%28W=6ft%29
now find the length

L=3W%2B3ft ....eq.1
L=3%2A6ft%2B3ft
L=18ft%2B3ft
highlight%28L=21ft%29