Question

1. A square and a rectangular field with
measurements as given in the figure have the same
A
perimeter. Which field has a larger area?

please solve this question ​

Answer 1

Answer:

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=3600m2

Area of rectangle=80×40=3200m2

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

Answer 2

A square and a rectangular field with measurements as given in the figure have the same perimeter. Which field has a larger area? Hence, area of square field is larger