SOLUTION: the lenght of a rectangular sheet of paper is 1 cm more than twice its width and the area of the rectangle is 105 sq. cm.. Find the length of the rectangle.

Question 343980: the lenght of a rectangular sheet of paper is 1 cm more than twice its width and the area of the rectangle is 105 sq. cm.. Find the length of the rectangle.
Answer by unlockmath(1688) (Show Source): You can put this solution on YOUR website!
Hello,
Let's have x represent the width. Now we can set up an equation as:
x(2x+1)=105
Multiply this out to get:
2x^2+x=105
Subtract 105 from both sides to get:
2x^2+x-105=0
This can be factored to:
(2x+15)(x-7)=0
Solve for x to get:
x=7
x=-15/2
Obviously, only 7 works as the answer so the width is:
7 cm and length is 15 cm
Make sense?
RJ
www.math-unlock.com
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