If You Know Perimeter, Can You Find Area?

Date: 6/30/96 at 11:42:8
From: Clay A Thompson
Subject: Given Perimeter, Find Area?

Can one determine the acreage of an irregularly shaped field if only 
the distance around the edge of the field (in feet) is known?

Thanks for your help.

Date: 6/30/96 at 14:33:8
From: Doctor Ceeks
Subject: Re: Given Perimeter, Find Area?

Unfortunately, the perimeter of a region does not determine the 
region's area.

In fact, for a given perimeter P, the area of the region can be 
anything between 0 and P^2/(4 pi).  The maximum can be achieved only 
by using a circular region.

-Doctor Ceeks,  The Math Forum
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