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Fnd the length and width of a rectangle

The length of a rectangle is 9 ft longer than twice the width. If the perimeter is 66 ft, find the length and width of the rectangle.

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Agustin C. | Experienced college tutor specializing in chemistry and SpanishExperienced college tutor specializing i...
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First, choose your variables. Let L be length and W be width.
L = 2W+9
Perimeter = 2L + 2W = 66
 
I will use reduction/elimination method to solve for L and W
L - 2W - 9 = 0
2L + 2W -66 = 0
Add these two equations together
3L - 75 = 0
Solving for L
L = 75/3 = 25
 
By rearranging the first equaion,
W = (L-9)/2
W = (25-9)/2
W = 16/2 = 8