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Yes

simplest is an area of 11 * 11 yards = 121 Sq Yds

perimiter is 4*11 = 44 yards

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Q: Can you enclose an area of 121 square yards with 50 yards of fence?

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It can enclose any area between zero and 795 square yards.If the field is 49.9999 yards long and 0.0001 yard wide, then the perimeter is 100 yardsand the area is 0.0049999 square yard.The greatest possible enclosed area with a given amount of fence and straight sides is a square. With 100 yardsof fence, the square that's 25 yards on a side encloses 625 square yards of land.The greatest possible enclosed area with a given amount of fence and any shape is a circle. With 100 yards of fence,the circle with a circumference of 100 yards has a diameter of 31.83 yards, and encloses an area of 795.77 square yards. (the number is rounded)

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.

The question suffers from a few problems:Problem #1:The closer we read the question, the less sense it makes. What is 0.25 miles apart ?The pieces of the field ? The fence-posts ? Nothing we can think of seems like a reasonableassumption. So you know what ? We're just going to ignore that part of the question,and talk about the length of fencing you'll need.Problem #2:The area doesn't tell you the perimeter. Your 25 acres could have an infinitenumber of different shapes and sizes, and every one of them would take adifferent amount of fencing to enclose it.If you want to use the absolute minimum amount of fence, then you want the25 acres in the shape of a circular field, 392.5 yards in diameter. Then thecircumference of the circle is 3,700 ft. = 1,233.1yards. (rounded)If you definitely want straight sides around the plot, then you want it in theshape of a square with sides of 347.9 yards. The perimeter of the square is4174.2 ft = 1,391.4 yards. (rounded)That's the minimum. If it's a rectangle and not square, then the longer andskinnier it is, the more fence it needs ... while keeping the same constant areaof 25 acres. For example:-- If it's 242 yds by 500 yds, it's 25 acres, and you need 1,484 yards of fence to enclose it.-- If it's 121 by 1,000 yds, it's still 25 acres, but you need 2,242 yards of fence to enclose it.-- If it's 44 by 2,750 yds, it's still 25 acres, but you need 5,588 yards to enclose it.

625 sq feet.

The perimeter of a square with an area of 5,000 square yards is: 282.8 yards

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It can enclose any area between zero and 795 square yards.If the field is 49.9999 yards long and 0.0001 yard wide, then the perimeter is 100 yardsand the area is 0.0049999 square yard.The greatest possible enclosed area with a given amount of fence and straight sides is a square. With 100 yardsof fence, the square that's 25 yards on a side encloses 625 square yards of land.The greatest possible enclosed area with a given amount of fence and any shape is a circle. With 100 yards of fence,the circle with a circumference of 100 yards has a diameter of 31.83 yards, and encloses an area of 795.77 square yards. (the number is rounded)

256

Since the playground is square, all sides must be equal. The easiest way to do that is to take the square root of 169 which is 13. That equals the length of one side of the fence, so the perimeter (length) of the fence is 4 times 13 which is 52 yards. Answer: 52 yards

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.

its simple all needs 10,000 ft to enclose her garden

The question suffers from a few problems:Problem #1:The closer we read the question, the less sense it makes. What is 0.25 miles apart ?The pieces of the field ? The fence-posts ? Nothing we can think of seems like a reasonableassumption. So you know what ? We're just going to ignore that part of the question,and talk about the length of fencing you'll need.Problem #2:The area doesn't tell you the perimeter. Your 25 acres could have an infinitenumber of different shapes and sizes, and every one of them would take adifferent amount of fencing to enclose it.If you want to use the absolute minimum amount of fence, then you want the25 acres in the shape of a circular field, 392.5 yards in diameter. Then thecircumference of the circle is 3,700 ft. = 1,233.1yards. (rounded)If you definitely want straight sides around the plot, then you want it in theshape of a square with sides of 347.9 yards. The perimeter of the square is4174.2 ft = 1,391.4 yards. (rounded)That's the minimum. If it's a rectangle and not square, then the longer andskinnier it is, the more fence it needs ... while keeping the same constant areaof 25 acres. For example:-- If it's 242 yds by 500 yds, it's 25 acres, and you need 1,484 yards of fence to enclose it.-- If it's 121 by 1,000 yds, it's still 25 acres, but you need 2,242 yards of fence to enclose it.-- If it's 44 by 2,750 yds, it's still 25 acres, but you need 5,588 yards to enclose it.

625 sq feet.

Just barely. You can get some breathing room by making the area circular. If you do that,then you only need 247-ft of fence to enclose it. But if it has straight sides, then theabsolute minimum fence to enclose it is 278.57 ft. (rounded)

The perimeter of a square with an area of 5,000 square yards is: 282.8 yards

The maximum area that you can enclose with 3000 feet of fencing would be a circle of radius 477.46 feet. This circle would have an area of 716197.2 square feet which is 16.442 acres. The minimum area that you can enclose is infinitesimally small - go for a very, very long and very, very narrow area.

101

832 yards