Aman started cycling along the boundaries of a square field from corner point A. After 45 minutes he reached the corner point C, diagonally opposite to A. if his speed was 12 km/hr, what is the area of the field in square km?

Aman cycles along the boundary of a square field from corner A to diagonally opposite corner C in 45 minutes at 12 km/hr. Distance covered = 12 × (45/60) = 9 km. For a square, traveling from one corner to the diagonally opposite corner along the boundary means going along two adjacent sides (half the perimeter). So two sides = 9 km, meaning one side = 4.5 km. Area of square = (4.5)² = 20.25 sq km.