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) (Show Source): You can put this solution on YOUR website!
Let L = length and W = width.
"The length of a rectangle is 1m longer than twice the width."
The area of a rectangle is given by:
Substitute and .
Simplify.
Subtract 105 from both sides.
Solve this quadratic equation by factoring.
Apply the "zero product" rule.
or
or Discard the negative solution as the width, W is a positive quantity.
and =
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