Question

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

Answer 1

Perimeter of Square `= 4 xx \text(side) = 4 xx 60 = 240` sq metres

Area of Square = Side² `= 60^2 = 3600` square metre

Perimeter of Rectangle = 2(length + breadth)

Or, `240 = 2(80 + text(breadth))`

Or, `80 + text(breadth) = 120`

Or, breadth `= 120-80 = 40` metres

Area of rectangle = length x breadth `= 80 xx 40 = 3200` square metres

Now it is clear that the area of the square field is greater than the area of the rectangular field.