A rectangle's length is two-fifths of the radius of a circle. The radius of this circle is equal to the side length of a square whose area measures 1225 square units. If the rectangle's breadth is 10 units, what is its area in square units?

Explanation

The square's area is 1225 square units, so its side length is √1225 = 35 units. The circle's radius equals this side length, which is 35 units. The rectangle's length is two-fifths of the radius: (2/5) × 35 = 14 units. Given the breadth is 10 units, the rectangle's area is length × breadth = 14 × 10 = 140 square units.