How many yards of fencing will you need to fence 25 acre field exactly .25 miles apart?

Answer 1

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 reasonable

assumption. 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 infinite

number of different shapes and sizes, and every one of them would take a

different amount of fencing to enclose it.

If you want to use the absolute minimum amount of fence, then you want the

25 acres in the shape of a circular field, 392.5 yards in diameter. Then the

circumference 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 the

shape of a square with sides of 347.9 yards. The perimeter of the square is

4174.2 ft = 1,391.4 yards. (rounded)

That's the minimum. If it's a rectangle and not square, then the longer and

skinnier it is, the more fence it needs ... while keeping the same constant area

of 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.