Question

The length of a rectangular field is 8 m and breadth is 2 m. If a square field has the same perimeter as this rectangular field, find which field has the greater area.

Answer 1

We have given, perimeter of the rectangular field = perimeter of the square field

⇒ 2(length + breadth) = 4 × side

⇒ 2(8 + 2) m = 4 × side

⇒ 2(10) m = 4 × side

⇒ 20 m = 4 × side

⇒ `20/4` m = side

⇒ side = 5 m

Now, area of the rectangular field = length × breadth = 8 m × 2 m = 16 m²

Area of the square field = side × side = 5 m × 5 m = 25 m²

∴ The square field has greater area than that of rectangular field.