SOLUTION: The length of a rectange is 6 inches less than twice its width. Find the dimension of the rectangle if its ares is 108 square inches.
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-> SOLUTION: The length of a rectange is 6 inches less than twice its width. Find the dimension of the rectangle if its ares is 108 square inches.
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Question 39810: The length of a rectange is 6 inches less than twice its width. Find the dimension of the rectangle if its ares is 108 square inches.
Thank you Answer by fractalier(6550) (Show Source):
You can put this solution on YOUR website! Let the width be w. The length is then 2w - 6. Multiply them to get the area.
A = LW
A = (2w - 6)w
108 = w(2w - 6)
2w^2 - 6w - 108 = 0
w^2 - 3w - 54 = 0
(w - 9)(w + 6) = 0
w = 9 or w = -6 (impossible) so
w = 9 and
length = 2(9) - 6 = 12
