The length of a rectangular field is 8m and breadth is 2m. If a square field has the same perimeter as this rectangular field, find which field has the greater area.


Given:


Length of field = 8 m


Breadth of field = 2 m


Perimeter = 2 × (l + b)


= 2 × (8 + 2)


= 20 m


Area of rectangle = 8 × 2


= 16 sq.m


According to question


Perimeter of Square = Perimeter of rectangle


4 × side = 20


Side = 5 m


Area of Square = side2


= 5 × 5


= 25 sq.m


Hence square has greater area.


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