Question

A farmer wants to fence off part of a rectangular field to create an area that is 22,500 square feet. He then wants to divide that area in half by creating a fence parallel to one side of the rectangle. Find the dimensions of the area that will minimize the amount of fencing he needs.

Answer 1

Answer:

90 x 125

Step-by-step explanation:

22500÷2 = 11250

factors of 11250 = {1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 125, 150, 225, 250, 375, 450, 625, 750, 1125, 1250, 1875, 2250, 3750, 5625, 11250} (this took me long to type and calculate lol)

well we want the factors as close as possible to minimize the perimeter. In this case, it is 90 and 125. therefore the dimenstions are 90 x 125