the floor of a rectangular hall has a perimeter 250m lf the cost of painting the four wall at the rate of ₹10per m is ₹15000fond the height of the hall
Answers
Solution :-
Let ,
- length of rectangular hall = l
- Breadth of rectangular hall = b
- Height of rectangular hall = h
→Area of four walls = 2lh + 2bh
→ 2(l + b)h
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Perimeter of the floor of hall :-
⠀= 2(l+b)⠀⠀
⠀= 250m
Area of four walls :-
⠀= 2(l+b)h
⠀= 250h
___________
⟹Cost of painting per = Rs 10
however it is given that :-
⟹ cost of painting the wall is = Rs 15000
⠀⟹ 15000 = 2500h
⠀⟹ h = 6
⠀∴ height of the hall is 6m
Answer:
Height = 6m
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Explanation:
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Given:
Perimeter = 250m
Cost of painting the four walls at the rate of ₹10 m² = ₹15000
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To Find: The required height
Lateral Surface Area of a Cuboid = Perimeter x Height
OR
2 x ( length + breadth) x height
We know that the perimeter is 250m. so,
250 x height (h) x 10 = 15000
[ here 250 is the perimeter, 10 is the cost of painting the walls per m² and 15000 is the rate of painting all four walls.]
Cost of painting the four walls = 10 x 250h
= 2500h
2500h = 15000
h =
= 6
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SOLUTION:
∴ The required height = 6m
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