SOLUTION: A rectangle with an area of 36 squares mile. The length is one mile more than twice of the width. Find the dimension of this rectangle.

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Question 191466: A rectangle with an area of 36 squares mile. The length is one mile more than twice of the width. Find the dimension of this rectangle.
Answer by jonvaliente(64) About Me  (Show Source):
You can put this solution on YOUR website!
Let x=width of the rectangle
.2x+1=length of the rectangle ("one mile more than twice the width")
.
If Area=length x width, then:
x%2A%282x%2B1%29=36
2x%5E2%2Bx=36
.
Subtracting 36 from both sides, we get:
2x%5E2%2Bx-36=0
.
Factoring (FOIL), we get:
%282x%2B9%29%28x-4%29=0
.
If 2x+9=0, we get:
2x=-9
x=-9/2, but the width cannot be negative
.
So we take:
x-4=0
x=4
.
The width of the rectangle is 4 miles and the length is 2*4+1=9 miles.