room is 6.2 m long, 3.8 m wide and 3.2 m high. it has 2 doors each 2 m × 1.2 m and 2 windows each 1.2 m × 1.5 m. find cost of white-washing its walls at rate of rupees 10 per square metre
Answers
Step-by-step Explanation:
Given:Length (l)=6.2m
Height (h)=3.2m
Width (b)=3.8m
∴ Area of four walls =2(l+b)h=2(6.2+3.8)×3.2=64m
2
Given that the has 2 doors each 2m×1.2m and 2 windows each 1.2m×1.5m.
Area of 2 doors =2×(2×1.2)=4.8m
2
Area of 2 windows =2×(1.2×1.5)=3.6m
2
∴ total area to be white-washed = area of four walls - (area of doors + area of window)
∴ total area to be washed =64−(4.8+3.6)m
2
=64−8.4=55.6m
2
Given that the cost of white-washing its walls at the rate of Rs.10 per square metre.
∴ The rate of white-washing 55.6m
2
area =55.6×10=Rs.556
Hence, the correct answer is 556.
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Answer:
Total cost of white-washing its walls is 556 rupees .
Step-by-step explanation:
The room is 6.2 m long ( l ) , 3.8 m wide ( b ) and 3.2 m high ( h ).
then , the area of the four walls is ,
A = 2 × ( Length + Breadth ) × Height
⇒ A = 2 × ( l + b ) × h
⇒ A = 2 × ( 6.8 + 3.2 ) × 3.2
⇒ A = 2 × 10 × 3.2
⇒ A = 2 × 32
⇒ A = 64 m²
The room has 2 doors each of 2 m × 1.2 m and 2 windows each of
1.2 m × 1.5 m.
then , the total area of both doors and windows is ,
( 2 × 2 × 1.2 ) + ( 2 × 1.2 × 1.5 )
= 4.8 + 3.6
= 8.4 m²
then , the area left for white-washing is
( 64.0 - 8.4 ) = 55.6 m²
∴ Cost for white-washing is , ( 55.6 × 10 ) = 556 rupees.