Question 707187: The length of a rectangle is 1m less than twice its width, and the area of the rectangle is 36m^2. Find the dimensions of the rectangle.
Answer by jim_thompson5910(35256)   (Show Source):
You can put this solution on YOUR website! x(2x - 1) = 36
2x^2 - x = 36
2x^2 - x - 36 = 0
(2x - 9)(x + 4) = 0
2x-9 = 0 or x+4 = 0
2x = 9 or x = -4
x = 9/2 or x = -4
x = 4.5 or x = -4
Toss out the negative solution.
So x = 4.5, 2x-1 = 2(4.5)-1 = 8
Therefore, the rectangle has a length of 8 m and a width of 4.5 m
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