SOLUTION: the length of a rectangle is 1 meter less than twice its width. If the area of the rectangle is 120 square meters, find the dimensions of the rectangle.

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Question 475302: the length of a rectangle is 1 meter less than twice its width. If the area of the rectangle is 120 square meters, find the dimensions of the rectangle.
Answer by dudeantariksh(10) About Me  (Show Source):
You can put this solution on YOUR website!
hie there!!
let the width of the rectangle be 'x' meter.
according to the condition provided,
length= 2x-1
------------------------------
we know that area of a rctangle = (length) x (width)
let us substitute d values of area, length and width
we get,
x(2x-1)=120
thus,
2x^2-x=120
that is
2x^2 -x-120=0
we use the formula
x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+
this gives us two solutions,
x=-7.5 or x=8
we know measurement of legth(width is length conventionally)cannot be negative.
therefore, x=8 metre.
and 2x-1= 16-1= 15 metre.
therfore the dimensions of th rectangle are 15 metre and 8 metre