SOLUTION: The length of a rectangle is 3 m less than twice the width, and the area of the rectangle is 14 m2 . Find the dimensions of the rectangle.

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Question 956831: The length of a rectangle is
3 m
less than twice the width, and the area of the rectangle is
14 m2
. Find the dimensions of the rectangle.
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

The length L of a rectangle is 3m less than twice the width W:
L=2W-3m
and the area of the rectangle is A=14m%5E2:
A=L%2AW
14m%5E2=%282W-3m%29%2AW
14m%5E2=2W%5E2-3m%2AW
0=2W%5E2-3m%2AW-14m%5E2.....use quadratic formula
W+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+
W+=+%28-%28-3%29+%2B-+sqrt%28+%283%29%5E2-4%2A2%2A%28-14%29+%29%29%2F%282%2A2%29+
W+=+%283+%2B-+sqrt%28+9%2B112+%29%29%2F4+
W+=+%283+%2B-+sqrt%28+121+%29%29%2F4+
W+=+%283+%2B-+11%29%2F4+
solution:we need only positive solution
W+=+%283+%2B+11%29%2F4+
W+=+14%2F4+
highlight%28W+=+3.5m%29+
now find L
L=2W-3m
L=2%2A3.5m-3m
L=7m-3m
highlight%28L=4m%29