The cost of carpeting a room 15m long with a carpet of width 75cm at the rate 80 per metre is 19200.find the width of the room.
80 what?
19200 what?
To find the width of the room, we need to use the given information and a basic formula for finding the cost of carpeting.
Let's break down the information given:
- Length of the room: 15m
- Width of the carpet: 75cm
- Rate of carpet per meter: 80
- Cost of carpeting the room: 19,200
First, let's convert the width of the carpet from centimeters to meters:
Width of the carpet = 75cm = 75/100 = 0.75m
Now, we can calculate the total area of the room to determine the carpet needed:
Area of the room = Length × Width
Area of the room = 15m × Width
Since the rate is given per meter, the total cost of carpeting can be calculated using the area and the rate:
Cost of carpeting = Area of the room × Rate
19,200 = (15 × Width) × 80
To find the width, we can rearrange the formula to solve for it:
Width = 19,200 / (15 × 80) = 16
Therefore, the width of the room is 16 meters.