Measure the length and the height of the proposed fence. Multiply the length in feet times the height in feet for the answer: total square feet of fence fabric needed. There are also other factors to consider such as whether there will be a gate.
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The maximum area possible using 100 feet of fencing is that inside a circular fence. But, since you asked about a rectangular fence: a 25x25 fence would hold 625 square feet. a 10x40 fence would hold 400 square feet. a 5x45 fence would hold 225 square feet. As you can see, the square is the rectangle that encompasses the largest area, as it is closest to a circle.
If it is perfectly square, it will be just short of 210 feet per side. So you will need 840 feet of fence.
9013 ft. square pasture
The area would be 30 square feet.
The garden has to be 36-ft by 39-ft. 150-ft of fence will just enclose it, and the area is 1,404 square feet. If the length didn't have to be 3-ft more than the width, then he could make it 37.5-ft square. The same 150-ft of fence would enclose it, but the area would be 1,406.5 square feet ... a full 0.16%, or 2.5 square feet, more.