SOLUTION: If 2 miles of fence enclose a square plot of 160 acres, how large a square will 4 miles of fence enclose

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Question 1093042: If 2 miles of fence enclose a square plot of 160 acres, how large a square will 4 miles of fence enclose
Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
As the perimeter (the length of the fence) changes by a certain factor,
while the shape stays the same,
the surface area changes by the square of the factor.
drawing%28150%2C150%2C-1.1%2C1.1%2C-1.1%2C1.1%2C%0D%0Arectangle%28-1%2C-1%2C1%2C1%29+%29 --> drawing%28100%2C100%2C-1.1%2C1.1%2C-1.1%2C1.1%2C%0D%0Arectangle%28-1%2C-1%2C1%2C1%29+%29 -->
So, doubling the perimeter, quadruples the surface area.