Question 1001983: Two of the local ranchers are bragging about their ability to use fencing sparingly. Bob says that he was once able to fence in a rectangular pasture of 12400 square feet with only 440 feet of fencing. Susan says that she was once ablee to fence in a rectangular pasture of 17,000 square ft with only 520 ft of fencing. Which one is lying?
Only Susan is lying
Neither
Only Bob is lying
Both are lying
Answer by Boreal(15235)   (Show Source):
You can put this solution on YOUR website! The least amount of fencing for a given area occurs when the area is a square.
square root of 12,400=111.35, and that would account for 445.4 feet of fencing.
square root of 17,000=130.38, and that would amount for 521.52 feet.
This is close enough to go the other way.
110^2=12,100 sq ft.
130^2=16,900 sq. ft.
Mathematically, both are "lying," but realistically, they both are very close to being accurate. Susan is closer, and if either said "about," they would be correct, Susan more so than Bob.
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