Question

The front wall of a house has a door 2m × 1m, two windows 1m ×7dm, a ventilator 5dm×5dm. If the wall is in the form of a rectangle 5m×4m with a triangle on it with base 5m and altitude 2m find the cost of the whitewashing the front wall at the rate of 20 rupees per square metre and painting the door , windows, and the ventilator at the rate of 40 rupees per square metre

Answer 1

Rs 573 is cost of the whitewashing the front wall at the rate of 20 Rs /m² and painting the door , windows, and the ventilator at the rate of 40 Rs /m²

Step-by-step explanation:

Area of Front Wall = 5 * 4 = 20 m²

Area of Door = 2 * 1 = 2 m²

Area of Two windows = 2  * 1 * (7/10) = 1.4 m²

Area of a Ventilator =(5/10) * (5/10)  = 0.25 m²

Area of Triangle = (1/2) * 5 * 2 = 5 m²

Area of Front wall = 20 + 5 - 2 - 1.4 - 0.25

= 21.35 m²

cost of the whitewashing the front wall at the rate of 20 rupees per square

= 20 * 21.35

=  427 Rs

Area of Door + Area of Two windows + Area of a Ventilator   2 + 1.4 + 0.25

= 3.65 m²

Cost of Painting = 40 *3.65 = Rs 146

Total Cost = 427 + 146  = 573 Rs

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