Question

# The cost of carpenting a room at Rs 90/m^2 is Rs 7200. If the length had been 5m less the cost would have been Rs 3600. Fimd the length and breadth of the room.

Answer

{'length':20, 'breadth':4}

- Q: What is the formula for the cost of carpeting a room? A: The formula for the cost of carpeting a room is Length x Breadth x Cost per m^2.
- Q:What are the given values in the problem? A: The cost of carpeting the room is 7200 when the length and breadth of the room are x and y, respectively. The cost of carpeting the same room when the length is 5 less than x is 3600.
- Q: What is the equation based on the given problem? A: xy * 90 = 7200 and (x-5)y * 90 = 3600.
- Q: From the above equations, can we solve for the values of x and y? A: Yes, we can solve it by using simultaneous equations.
- Q: What are the steps to solve for x and y? A: Step 1: xy * 90 = 7200 => xy = 80 .........(1) Step 2: (x-5)y * 90 = 3600 => (x-5)y = 40 .........(2) Step 3: Solve equation (1) and (2) simultaneously => x = 20 and y = 4.