Math CentralQuandaries & Queries


Question from sharon, a student:

a farmer want to make a rectangular fence he has 750 feet of material . if the width is 95 feet what is the area of the rectangle

Hi Sharon,

One side of the enclosed region is 95 feet long so side parallel to this side is also 95 feet. Thus these two sides require 95 + 95 = 190 feet of fencing. Since the farmer has 750 feet of fencing this leaves 750 - 190 = 560 feet for the other two sides. How long can she make each of these two sides? The area of a rectangle is the length times the width so what is the area of this rectangle?


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