A verandah 1.25m wide is constructed all along the outside of a room 5.5m long and 4m wide. Find the cost of cementing the floor of this verandah at the rate of ₹15 per sqare metre.
good question
₹20,300
450
I m from St.Theresa's School
To find the cost of cementing the floor of the verandah, we need to calculate the area of the floor and then multiply it by the cost per square meter.
The verandah is constructed all along the outside of the room, so it forms a rectangular shape. The length of the room is 5.5 meters and the width is 4 meters.
To calculate the area of the verandah floor, we need to add the width of the verandah to the dimensions of the room.
Width of the verandah = 1.25 meters
Total length of the verandah = Length of the room + 2 * Width of the verandah
Total length of the verandah = 5.5 meters + 2 * 1.25 meters
Total length of the verandah = 5.5 meters + 2.5 meters
Total length of the verandah = 8 meters
Total width of the verandah = Width of the room + 2 * Width of the verandah
Total width of the verandah = 4 meters + 2 * 1.25 meters
Total width of the verandah = 4 meters + 2.5 meters
Total width of the verandah = 6.5 meters
Now, we can calculate the area of the verandah floor by multiplying the total length and total width of the verandah.
Area of the verandah = Total length of the verandah * Total width of the verandah
Area of the verandah = 8 meters * 6.5 meters
Area of the verandah = 52 square meters
Now, we can find the cost of cementing the floor by multiplying the area of the verandah by the cost per square meter.
Cost of cementing = Area of the verandah * Cost per square meter
Cost of cementing = 52 square meters * ₹15/square meter
Cost of cementing = ₹780
Therefore, the cost of cementing the floor of this verandah at the rate of ₹15 per square meter is ₹780.