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Question

The dimensions of a room are (9 m × 8 m × 6.5 m). It has one door of dimensions (2 m × 1.5 m) and two windows, each of dimensions (1.5 m × 1 m). Find the cost of whitewashing the walls at Rs 6.40 per square metre.


Solution

We need to white wash the four walls of the room
Here, l = 9 m; b = 8 m; h = 6.5 m
Area of the four walls = 2l+b×h 
                                 =29+8×6.5 m2=2×17×6.5 m2=221 m2
Now, the door and the windows are not to be white washed.
Area of the door = l×b=2×1.5=3 m2
Area of a window = l×b=1.5 ×1=1.5 m2

Area to be white washed = area of four walls − (area of door + area of two windows)
                                      = 221 − (3 + 2 × 1.5)
                                     = 221 − 6 = 215 m2                    
Cost of whitewashing = Rs 6.40/m2
∴ Cost of whitewashing 215 m2 = Rs 6.40 × 215 = Rs 1376

Mathematics
RS Aggarwal (2017)
Standard IX

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