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If a lake is 157 acre, what size is the perimeter?

Please show your work

Update:

The lake is obviously an imperfect perimeter, I am just wanting to know the approx. length of the shoreline to know the length of the trail that goes around the lake.

http://www.mass.gov/dcr/parks/trails/ashland.gif

4 Answers

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  • 8 years ago
    Favorite Answer

    157 acres is 4047 x 157 sq meters = 635,379 sq m.

    Perimeter would be approximately 800 x 4 = 3200 meters

  • ?
    Lv 7
    8 years ago

    acre is area. perimeter is length.

    it depends on the shape of the acre.

    is it a round 157 acre plot or is it square...?

  • 8 years ago

    If its a rectangle, let

    P = perimeter

    L = length

    W = width

    P = 2(L + W)

    But you have three unknowns. That's a big problem. You can only estimate L and W and wing it.

  • 8 years ago

    Infinitely long - shorelines are fractals, which have an ever-increasing length the closer you look at them.

    For the path around your particular lake, find some drawing program that will measure the length of a polygon, and trace around it. Xfig on Linux will do that, but I'm too lazy and selfish to do it for you.

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