A square and a rectangular field with measurements as given in the figure have the same perimeter. Which field has a larger area?


Let breadth of the rectangle be b

Perimeter of the rectangle = Perimeter of the square


2 × (80 + b) = 4 × 60


b = 40 m


Now, area of square = a2 = 602 = 3600 m2


And area of the rectangle = lb = 80 × 40 = 3200 m2


Clearly, area of square is greater.


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