A square field of side 60 m and a rectangular field of length 80 m hav

1.	A square field of side 60 m and a rectangular field of length 80 m have the same perimeter. Then which of the following is true?1. Area of the square field = Area of the rectangular field2. Area of the rectangular field > Area of the square field 3. Area of the square field > Area of the rectangular field 4. The difference between their areas is 1200 m2
Answer» Correct Answer - Option 3 : Area of the square field > Area of the rectangular field Given: A square field of side 60 m and a rectangular field of length 80 m have the same perimeter. Formula Used: Area of the square field = (side)² Area of the rectangular field = Length of field × Breadth of field Perimeter of square field = 4 × side Perimeter of rectangular field = 2 × (Length + Breadth) Calculation: ⇒ Area of the square field = (60)² = 3600 m² ⇒ Perimeter of square field = 4 × 60 = 240 m ⇒ Perimeter of rectangular field = 2 × (80 + Breadth) = 240 ⇒ Breadth of rectangular field = 40 m ⇒ Area of the rectangular field = 80 × 40 = 3200 m2 ∴ Area of the square field > Area of the rectangular field

A square field of side 60 m and a rectangular field of length 80 m have the same perimeter. Then which of the following is true?1. Area of the square field = Area of the rectangular field2. Area of the rectangular field > Area of the square field 3. Area of the square field > Area of the rectangular field 4. The difference between their areas is 1200 m2

Answer» Correct Answer - Option 3 : Area of the square field > Area of the rectangular field

Given:

A square field of side 60 m and a rectangular field of length 80 m have the same perimeter.

Formula Used:

Area of the square field = (side)²

Area of the rectangular field = Length of field × Breadth of field

Perimeter of square field = 4 × side

Perimeter of rectangular field = 2 × (Length + Breadth)

Calculation:

⇒ Area of the square field = (60)² = 3600 m²

⇒ Perimeter of square field = 4 × 60 = 240 m

⇒ Perimeter of rectangular field = 2 × (80 + Breadth) = 240

⇒ Breadth of rectangular field = 40 m

⇒ Area of the rectangular field = 80 × 40 = 3200 m2

∴ Area of the square field > Area of the rectangular field