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 Question from Koleen, a parent: How much fencing do I need for an 56,850 parcel of land for a 15 stable horse barn

Koleen,

The answer depends on the shape of the parcel, not just its area. Is it a rectangle? If so what are the side lengths?

Penny

Koleen wrote back

It is for a school project on how to spend a million dollars make it rectangle please

Koleen,

By a "56,850 parcel of land" I expect you mean a parcel of land with an area of 56,850 square feet. There are many rectangles with area 56,850 square feet and different perimeters. For example a rectangle with length 56,850 feet and width 1 foot has an area of $56,850 \times 1 = 56,850$ square feet. Its perimeter is the sum of the lengths of its sides so the perimeter is $56,850 + 1 + 56,850 + 1 = 113,702$ feet. Not a very practical parcel of land for a stable of horses.

Better dimensions might be 50 feet by 1,137 feet or 150 feet by 379 feet. If fact in fact any two positive numbers $L$ and $W$ such that $L \times W = 56,850$ can serve as the length and width of the rectangle in feet. It's your choice.

Penny

Math Central is supported by the University of Regina and The Pacific Institute for the Mathematical Sciences.