Math CentralQuandaries & Queries


Question from stephanie, a student:

The perimeter of a rectangle is 54yds , and the area of the rectangle is 180yds^2 . Find the dimensions of the rectangle.

Hi Stephanie,

If the perimeter is 54 yards then half way around is 54/2 = 27 yards. The area is given by the length times the width so suppose the length is x yards. Since half the perimeter is 27 yards the width must be 27 - x yards.



x times (27 - x) = 180 square yards.

Solve for x.


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