Q. 9

# The length, breadth and height of a hall are 4 meter, 6 meter and 4 meter. There are three doors and four windows in the room. The measurement of each door is 1.5 meter × 1 meter and each window is 1.2 meter × 1 meter. How much it will cost for covering four walls by coloured paper at the rate of Rs. 70 per square meter.

Answer :

We know, area of rectangle = length × breadth

Area of square = (side)^{2} = side × side

There are 4 walls, 1 floor, 3 doors and 4 windows in the hall.

Area of Wall 1 = 4m × 4m = 16m^{2}

Area of Wall 2 = 6m × 4m = 24m^{2}

Area of Wall 3 = 4m × 4m = 16m^{2}

Area of Wall 4 = 6m × 4m = 24m^{2}

Area of Floor = 4m × 6m = 24m^{2}

Area of each door = 1.5m × 1m = 1.5m^{2}

Total area for 3 doors = 4.5m^{2}

Area of each windows = 1.2m × 1m = 1.2m^{2}

Total area for 4 windows = 4.8m^{2}

Net area = Area of floor + Area of walls – Area of doors – Area of windows

= 24 + 16 + 24 + 16 + 24 - 4.5 - 4.8 = 94.7m^{2}

Total cost at the rate of Rs. 70 per sq m

= Rs. 94.7 × 70 = Rs. 6629

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