SOLUTION: the length of a rectangular box is 3 inches more than twice the width. the perimeter is 36. find the length and width

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Question 741837: the length of a rectangular box is 3 inches more than twice the width. the perimeter is 36. find the length and width
Answer by only4christ(12) About Me  (Show Source):
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The formula for perimeter is: P = L + L + W + W or P = 2L + 2W
Given: Perimeter=36 and L=2W+3
All we need to do is substitute this into the formula.
36=2(2W+3) + 2W
36=4W+6+2W remove the parenthesis by distributing the 2
36=6W+6 collect like terms (numbers with variables)
36-6=6W collect like terms (numbers without variables)
30=6W divide both sides by 6
5 = W
Since L = 2W + 3, then L = 2(5)+3 = 13