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If you have to order fencing for a 25 acre rectangular field One side of the field measures exactly one-fourth mile How many yards of fencing will you need to enclose the field completely?
Wiki User
∙ 12y ago
25 acres = 25 x 43,560 square feet = 1,089,000 ft2
1/4 mile = 1,320 feet
Perimeter of a rectangle = (2 x width) + (2 x length)
Area of a rectangle = width x length
We know the area of the field, and the length of one side, but to compute perimeter, we will need to compute the length of the other side.
1,089,000 ft2 = 1,320 feet x width
Divide both sides by 1,320 feet to solve for width:
1,089,000 ft2 / 1,320 feet = 825 feet = width
So now we have both length and width, we just plug those in to find the perimeter (length of Fencing): (2 x 1,320 feet = 2,640 feet) + (2 x 825 = 1,650 feet) = 3,290 feet. However, the question asked for yards, since there are 3 feet in a yard, we divide the number of feet by 3 to find 1,096 and 2/3rds yards.
Wiki User
∙ 12y ago
Anonymous
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There is no definitive answer for this question. There are actually an infinite number of valid answers, depending completely on the proportions of the 20-acre rectangle.The shortest possible distance around a 20-acre rectangle is 3,733.52 feet; in this case the rectangle is actually a square that is 933.38 feet on a side. Every other possible rectangle would have a longer circumference.ExamplesA rectangle that measures 500 feet by 1,742.4 feet would enclose 20 acres; it would have a circumference of 4,484.8 feet.A rectangle that measures 200 feet by 4,356 feet would enclose 20 acres; it would have a circumference of 9,112 feet.A rectangle that measures 50 feet by 17,424 feet would enclose 20 acres; it would have a circumference of 34,948 feet.As these examples illustrate, the distance around the 20-acre rectangle increases dramatically as the rectangle becomes farther from square. In fact, the upper limit of the circumference would be defined as "approaches infinity" as the short sides of the rectangle approach zero in length.
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