You have to order fencing for a 25-acre, rectangular field. One side of the field measures exactly 1/4 mile. How many yards of fencing will you need to enclose the field completely?

One side of the rectangular field measures 1/4 miles.

Let x = the length of the other side in miles.

Then the area of the field is

A = 0.25x mi²

Note that

1 mi² = 640 acres, or 1/640 mi²/acre.

The area is given as 25 acres, which is equal to

(25 acres) * (1/640 mi²/acre) = 0.0391 mi²

Therefore

0.25x = 0.0391

x = 0.1563 mi

The length of fencing required is the perimeter of the rectangle.

It is

2 * (0.1563 + 0.25) = 0.8126mi.

Because 1 mile = 1760yards, therefore the perimeter is

0.8126*1760 = 1430.2 yds

Answer: 1430.2 yards

For practical purposes, it should be 1431 yards.