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

Please show your work

2013-05-17T17:06:19Z

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

?2013-05-17T17:35:49Z

Favorite Answer

157 acres is 4047 x 157 sq meters = 635,379 sq m.
Perimeter would be approximately 800 x 4 = 3200 meters

roger2013-05-17T23:37:48Z

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...?

Skookum2013-05-18T00:42:00Z

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.

adaviel2013-05-18T02:06:34Z

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.