Question

A square and a rectangular field with measurements of a given in the figure have the same perimeter. Find the of the given figure.
​

Answer 1

Let the side of square field be a=60 m

Let the length of the rectangular field be l=80 m and breadth be b m.

According to the question

perimeter of square = Perimeter of rectangle

4×a=2(l+b)

⇒4×60=2(80+b)

⇒240=160+2b

⇒2b=80

⇒b=40

Area of square =60×60=3600m

2

Area of rectangle=80×40=3200m

2

So, the area of the square is greater than t

So, the area of the square is greater than the area of the rectangle.