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)   (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:


.
Subtracting 36 from both sides, we get:

.
Factoring (FOIL), we get:

.
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.

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