SOLUTION: the length of a rectangle is 1m longer than twice the width. the area of the rectangle is 105m squared find the length and the width of the rectangle

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Question 633612: the length of a rectangle is 1m longer than twice the width. the area of the rectangle is 105m squared find the length and the width of the rectangle
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Let L = length and W = width.
L+=+2W%2B1 "The length of a rectangle is 1m longer than twice the width."
The area of a rectangle is given by:
A+=+L%2AW Substitute L+=+2W%2B1 and A+=+105.
105+=+%282W%2B1%29%2AW Simplify.
105+=+2W%5E2%2BW Subtract 105 from both sides.
2W%5E2%2BW-105+=+0 Solve this quadratic equation by factoring.
%282W%2B15%29%28W-7%29+=+0 Apply the "zero product" rule.
2W%2B15+=+0 or W-7+=+0
2W+=+-15 or W+=+7 Discard the negative solution as the width, W is a positive quantity.
W+=+7 and L+=+2%287%29%2B1=15