SOLUTION: A tract of land is rectangular, and the length is twice the width. The area in square miles is equal to the perimeter in miles. Determine dimensions. Partial attempt: Area

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Question 1053895: A tract of land is rectangular, and the length is twice the width. The area in square miles is equal to the perimeter in miles. Determine dimensions.
Partial attempt:
Area = Length * Width
Perimeter = 2L + 2W
Length = 2W
Area = Perimeter
Unsure bow to continue. Thanks.

Found 3 solutions by KMST, addingup, MathTherapy:
Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
Area=%282W%29%2AW
Area=2W%5E2
Perimeter=2%282W%29%2B2W
Perimeter=4W%2B2W
Perimeter=6W
2W%5E2=6W
Since W is not zero, the equation simplifies to 2W=6 ,
meaning L=6 ,
and W=6%2F2 or W=3 .
So, the tract is 6 miles long and 3 miles wide.
That makes the perimeter 18 miles, and the area 18 square miles.

Answer by addingup(3677) About Me  (Show Source):
You can put this solution on YOUR website!
You have done what can be done. You need more information. The length of a side for example.
:
W*2W = Area
2W+2(2W) = Perimeter
:
John

Answer by MathTherapy(10555) About Me  (Show Source):
You can put this solution on YOUR website!

A tract of land is rectangular, and the length is twice the width. The area in square miles is equal to the perimeter in miles. Determine dimensions.
Partial attempt:
Area = Length * Width
Perimeter = 2L + 2W
Length = 2W
Area = Perimeter
Unsure bow to continue. Thanks.
Width: W
Length: 2W
Area: matrix%281%2C3%2C+W%282W%29%2C+or%2C+2W%5E2%29
Perimeter: 2(W + 2W), or 2(3W), or 6W
Area = Perimeter, so:
You should be able to find the length.