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

Given: The side of a square = 60 m
And the length of rectangular field = 80 m
According to question,
Perimeter of rectangular field = Perimeter of square field
⇒ 2(l+b) = 4 x side ⇒ 2(80+b)=4×60
⇒ 160+2b=240 ⇒ 2b=240-160
⇒ 2b=80 ⇒ b=40 m
Now Area of Square field = (side)² = (60)² =3600 m²
And Area of Rectangular field = length x breadth = 80 x 40 = 3200 m²
Hence, area of square field is larger.

Class 8 Maths Chapter 11 Exercise 11.1 Solution in Video

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