A square is divided into four rectangles as shown in the figure. The lengths of the sides of the rectangles are

A square is divided into four rectangles as shown in the figure. The lengths of the sides of the rectangles are natural numbers. the area of two rectangles are indicated in the figure, what is of of area of the square

(a) 240.25

(b) 420.25

(c) 306

(d) None of these

Sol:

Factors of 110 = 11 × 10

Factors of 930 = 31 × 30 30 + 11 = 31 + 10 = 41