SOLUTION: the length of a rectangle is 1 inch more than 2 times its width. the area of the rectangle is 36 square inches. what is the length of the rectangle?

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Question 297877: the length of a rectangle is 1 inch more than 2 times its width. the area of the rectangle is 36 square inches. what is the length of the rectangle?
Found 2 solutions by JBarnum, Stitch:
Answer by JBarnum(2146)   (Show Source): You can put this solution on YOUR website!
L=(2W+1)
A=LW
A=36




-4 and 4.5 are the 2 numbers that multiply to get -18 add to get 0.5

, cant be negative






Answer by Stitch(470)   (Show Source): You can put this solution on YOUR website!
Set-Up
---------
Equation 1:
Equation 2:
Solution:
----------
Substitute (1 + 2W) into equation 2 for L
Equation 2:
Simplify
Subtract 36 from both sides
Rewrite the equation

Find the factors of 36: 1,2,3,4,6,9,12,18,36
In this case 4 & 9 fit our equation

The new equation:
There are 2 answers: (2W + 9 = 0) & (W - 4 = 0)
Subtract 9 from both sides
Divide both sides by 2

Now you can not have a negative length so that rules out that answer
--------
For Add 4 to both sides

Now plug 4 into equation 1 for W
Equation 1:


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