- #1
Calculus!
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1. The problem statement
A farmer wants to fence an area of 37.5 million square feet in a rectangular field and then divide it in half with a fence parallel to one of the sides of the rectangle. How can he do this so as to minimize the cost of the fence? (Give the dimensions in increasing order.)
I was thinking to take 37.5 and divide it by two to get 18.75. So then one equation would be 18.75 = xy/2, right? I'm just not too sure how to get the equations.
A farmer wants to fence an area of 37.5 million square feet in a rectangular field and then divide it in half with a fence parallel to one of the sides of the rectangle. How can he do this so as to minimize the cost of the fence? (Give the dimensions in increasing order.)
The Attempt at a Solution
I was thinking to take 37.5 and divide it by two to get 18.75. So then one equation would be 18.75 = xy/2, right? I'm just not too sure how to get the equations.