Question

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

Answer 1

Perimeter of Square = 4 x side = 4 x 60 = 240 sq metres
Area of Square = Side² = 60² = 3600 square metre
Perimeter of Rectangle = 2(length + breadth)
Or, 240 = 2(80 + breadth)
Or, 80 + breadth = 120
Or, breadth = 120-80 = 40 metres
Area of rectangle = length x breadth = 80 x 40 = 3200 square metres
Now it is clear that the area of the square field is greater than the area of the rectangular field.