Matlab a farmer wishes to build a rectangular pen for his animals out of 40 feet of fencing what should be the length and width of pen so that its area is as great as possible

Question

Mathematics

Ishaan Peters

22 May, 12:45

Matlab a farmer wishes to build a rectangular pen for his animals out of 40 feet of fencing what should be the length and width of pen so that its area is as great as possible

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Kimberly Leblanc · Answer 1

Width=w

length = (40-2w) / 2=20-w

A=w (40-w)

A=40w-w²

A'=40-2w=0

2w=40

w=20

20x20 is the size of the pen having the greatest area. this tells us the largest rectangle for a given perimeter is a square