The dimensions of a room are 12.5 m by 9 m by 7 m. There are 2 doors and 4 windows in the room; each door measures 2.5 m by 1.2 m and each window 1.5 m by 1 m. Find the cost of painting the walls at Rs. 3.50 per square metre.
Answers
Cost of painting 4 walls = Rs 1011.50
Step-by-step explanation:
The dimensions of a room are 12.5 m × 9 m × 7 m
Area of 4 walls = 2(l + b ) × h
= 2(12.5 + 9) × 7
= 43 × 7
Area of 4 walls = 301 m²
Dimension of door = 2.5 m × 1.2 m
Dimension of window = 1.5 m × 1 m
Area of 2 doors and 4 windows = [2(2.5 × 1.2) + 4(1.5 × 1)]
Area of 2 doors and 4 windows = 12 m²
Area to be painted = Area of door – Area of 2 door and 4 windows
= 301 m² – 12 m²
Area to be painted = 289 m²
Cost of painting per m² = Rs 3.50
Cost of painting 289 m² = 3.50 × 289
= 1011.50
Hence cost of painting 4 walls = Rs 1011.50
To learn more...
1. The dimensions of a room are 14m*10m*6.5m.There are two doors and four windows in the room.Each measures 1.5m*1m.
Find the cost of painting the four walls of the room at Rs 35 per m2
https://brainly.in/question/6520463
2. The dimension of a room are 12.5 m by 9 m by 7 m. there are 2 doors and 3 window in the room. each door measures 2.4 m by 1.5 m and each window 1.4 m by 1.2 m. Find the cost of painting the walls at the ₹ 3.50 per square metre
https://brainly.in/question/2358207
The cost price of panting of wall is Rs. 1011.5.
Step-by-step explanation:
Given that the dimension of a room are 12.5 m by 9 m by 7 m.
Length= 12.5 m
Breadth = 9 m
Height = 7 m
The surface area of wall , 2 doors and 4 windows is
= 2 × height(length+breadth)
=2×7 (12.5+9) cm²
=301 cm²
The dimension of a door are 2.5 m by 1.2 m
The area of one door =(2.5×1.2)m²
=3 m²
The area of 2 doors is = (3×2)m²
=6 m²
The dimension of window are 1.5 m by 1 m.
The area of a window is =(1.5×1) m²
=1.5 m²
The area of 4 window is =(1.5×4) m²
= 6 m²
The area of the wall is = (301-6-6) m²
=289 m²
The cost of painting the walls at Rs. 3.50 per square meter.
The cost of panting of wall is =Rs.(289×3.50)
= Rs. 1,011.5