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## Homework Statement

A rancher has 125,000 linear feet of fencing and wants to enclose a rectangular field and then divide it into four equal pastures with three internal fences parallel to one of the rectangular sides. What are the dimensions for each of the four equal pastures that will maximize the area of each pasture?

## Homework Equations

## The Attempt at a Solution

Please see attached work. According to the back of the book, the dimension of 12,500 (green checkmark) is correct. But when I plug this value into the original equation to find the other dimension, I am getting an incorrect solution. Any ideas?