A room is 8.5 m long, 6.5 m broad and 3.4 m high. It has two doors, each measuring (1.5 m by 1 m) and two windows, each measuring (2 m by 1 m). Find the cost of painting its four walls at Rs 160 per m².

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Solution

Length = 8.5 m
Breadth = 6.5 m
Height = 3.4 m

Area of the four walls = {2(l + b) $\times$ h} sq. units
= {2(8.5 + 6.5) $\times$ 3.4}m² = {30 $\times$ 3.4} m² = 102 m²
Area of one door = (1.5 $\times$ 1) m² = 1.5 m²
∴ Area of two doors = (2 $\times$ 1.5) m²= 3 m²
Area of one window = (2 $\times$ 1) m²= 2m²
∴ Area of two windows = (2 $\times$ 2) m²= 4 m²
Total area of two doors and two windows = (3 + 4)m²
= 7 m²
Area to be painted = (102 - 7) m² = 95 m²
Rate of painting = Rs 160 per m²
Total cost of painting = Rs (95 $\times$ 160) = Rs 15200

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A room is 8.5 m long, 6.5 m broad and 3.4 m high. It has two doors, each measuring (1.5 m by 1 m) and two windows, each measuring (2 m by 1 m). Find the cost of painting its four walls at Rs 160 per m2.

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