The length of a rectangle is three-fifths of the radius of a circle. The radius of the circle is equal to twice the side of a square, whose area is 3025 sq. units. The breadth of the rectangle is one-fifth of the side of the square. What is the area (in sq. units) of the rectangle?

Correct option is C

​Given:

Radius of the circle = twice the side of a square.

Area of the square = 3025 sq. units.

Length of rectangle = $$\frac{3}{5} \times \text{Radius}$$​​

Breadth of rectangle = $$\frac{1}{5} \times \text{Side of square}$$ 

Formula Used: 

Side of square = $$\sqrt{Area}$$ 

Area of rectangle = length $$\times$$ breadth

Solution:

Side of square = $$\sqrt{3025} = 55 units$$ 

then, 

Radius of the circle  = $$2 \times 55 = 110 units$$​​

Length of rectangle  = $$\frac{3}{5} \times 110 = 66 units$$​​

Breadth of rectangle = $$\frac{1}{5} \times 55 = 11 units$$ 

Hence, Area of rectangle ;

Area = $$66 \times 11 = 726 sq. units$$​​