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

Question

Philoid · Accepted Answer

Let breadth of the rectangle be b

∵ Perimeter of the rectangle = Perimeter of the square

∴ 2 × (80 + b) = 4 × 60

⇒ b = 40 m

Now, area of square = a² = 60² = 3600 m²

And area of the rectangle = lb = 80 × 40 = 3200 m²

Clearly, area of square is greater.