The dimensions of a room are 14 m x 10 m x 6.5 m. There are two doors and 4 windows in the room. Each door measures 2.5 m x 1.2 m and each window measures 1.5 m x 1m. Find the cost of painting the four walls of the room at RS. 35 per m2.
Given:
Length of walls = 14 m
Breadth of walls = 10 m
Height of walls = 6.5 m
Length of windows = 1.5 m
Breadth of windows = 1 m
Length of doors = 2.5 m
Breadth of doors = 1.2 m
Cost = Rs 35 per m2
Now,
Area of four walls = 2(Length of walls × Height of walls) + 2(Breadth of walls × Height of walls)
= 2(14 × 6.5) + 2(10 × 6.5)
= 182 m2 + 130 m2
= 312 m2
Area of two doors = 2(Length of doors × Breadth of doors)
= 2(2.5 × 1.2)
= 6 m2
Area of four windows = 4(Length of windows × Breadth of windows)
= 4(1.5 × 1)
= 6 m2
Therefore,
Area to be painted = Area of 4 walls–(Area of 2 doors + Area of 4 windows)
= 312 m2 – (6 m2 + 6 m2)
= 300 m2
Cost of painting = 300 m2 × Rs 35 per m2
= Rs 10500