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26 April, 18:44

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?

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  1. 26 April, 18:48
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    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.
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