A circle, radius 56/2 pi = 28/pi = 8 feet 11 inches which would have an area of 249¾ squinches
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A square 14 ft on a side.
No
The largest pen you can make is a circle with a circumference of 100 meters.Its diameter is 31.83 meters, and its area = 795.77 square meters.It's a lot easier to just go with a square ... the largest area you can make with straight sides.Use the 100 meters of fence to enclose a (25 x 25) square. The area is 625 square meters.
56 ft = 18 yards 2 feet.
How is it largest ? Do you mean longest ? Do you mean widest ?There's no answer for either longest or widest. If you make it 1 foot wide, thenit's 9 feet long, and if you make it 1 inch long, then it's 9feet 11inches wide. Youcan make it as long as you want, without limit, or as wide as you want, withoutlimit. But not both.Do you mean the rectangle with the largest perimeter ? That's not even a question.The perimeter is the 20 feet of fencing that you have.Do you mean the rectangle that encloses the most area? OK. Now we're talking.For a definite amount of fencing (perimeter), the rectangle with the largest areais a square. Lay out your garden in a square with 5-foot sides. Your 20-feet offencing just exactly encloses it, and you have 25 square feet of area.If you want more area than that, there's one more thing you can do. A squareis the rectangle with the most area, but it's not the shape with the most area.That would be a circle.The absolute most area you can get inside that piece of fence is 31.836 square feet,in a circle with a diameter of 6feet 4.4inches, and a circumference of . . . . . . 20 feet !