The length of a rectangular field is 8 m and breadth is 2 m. If a squa

1.	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» 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 = 8m × 2m = 16m² Area of the square field= side × side = 5m × 5m = 25m² ∴ The square field has greater area than that of rectangular field.

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»

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 = 8m × 2m = 16m²

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

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