SOLUTION: the length of a rectangle is 2 feet less than three times the width. the area of the rectangle is 40 square feet. find the length and the width of the rectangle.

Question 1018423: the length of a rectangle is 2 feet less than three times the width. the area of the rectangle is 40 square feet. find the length and the width of the rectangle.
Answer by Cromlix(4381) (Show Source): You can put this solution on YOUR website!
Hi there,
Make width = 'x'
Length therefore, = 3x - 2
Area = Width * Length (* Times)
40 = x(3x - 2)
40 = 3x^2 - 2x
3x^2 - 2x - 40 = 0
Factorise
(3x + 10)(x - 4) = 0
3x + 10 = 0
3x = -10
x = -10/3 (Disregard as -ve)
x - 4 = 0
x = 4
Width = 4 feet
Length = 10 feet.
Hope this helps :-)
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