A square and a rectangular field with measurements as given in the figure have the same perimeter. The field with larger area is :
Square field
Perimeter of Square =4×side=4×60 m=240 m
⇒ Area of Square =Side2=602=3600 sq.m.
⇒ Perimeter of Rectangle = 2(length + breadth)
Or, 240 = 2(80 + breadth)
Or, 80 + breadth = 120
Or, breadth = (120 - 80) = 40 m
Area of rectangle = length × breadth =(80×40) sq.m.=3200sq.m.
So, area of the square field is greater than that of the rectangular field.