The length of a rectangular floor exceeds its breadth by 200%. If painting the floor costs Rs. 324 at Rs. 3 per square meter, what is the length of the floor?

Explanation

Let the breadth be b meters. Since the length is 200% more than the breadth, length l = b + 2b = 3b. The cost to paint is Rs. 324 at Rs. 3 per sq. m, so the area is 324 / 3 = 108 sq. m. Area = length × breadth = l × b = 3b × b = 3b² = 108. Solving for b² gives b² = 36, so b = 6 meters. Therefore, length l = 3 × 6 = 18 meters.