Homework Help: Math

Posted by Megan Bill on Sunday, December 12, 2010 at 5:02pm.

The length of a rectangular field is 3 yards less than twice the width. If the area of the field is 104 squared yards, what are the dimensions of the field? The answer is W=8, L=13 How do you work it out to get the answer????

Math - Reiny, Sunday, December 12, 2010 at 5:17pm
let the width be x
then length is 2x-3

x(2x-3) = 104
2x^2 - 3x - 104 = 0
(2x+13)(x-8) = 0
x = -13/2 or x = 8, but x has to be positive for width
x = 8

width is 8
length = 2(8) - 3 = 13

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