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2 metres broad pathway is to be constructed around a rectangular plot on the inside. The area of the plot is 96 sq. m. The rate of construction is Rs.50 per square metre. Find the total cost of the construction.
  • a)
    Rs.2400
  • b)
    Rs.4000
  • c)
    Rs.4800
  • d)
    Data inadequate
  • e)
    None of these
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
2 metres broad pathway is to be constructed around a rectangular plot ...
 Option D
Lb = 96 (Given) Area of pathway = [(L-4) (b-4)-Lb] = 16-4 (L + b), which cabe determined. So, data is inadequate.
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Most Upvoted Answer
2 metres broad pathway is to be constructed around a rectangular plot ...
Given Data
- Area of the rectangular plot = 96 sq. m
- Width of the pathway = 2 metres
- Rate of construction = Rs.50 per square metre

Calculations
1. Find the dimensions of the rectangular plot:
Let the length of the plot be x metres.
The area of the plot = Length x Width
96 = x(2 + 2)
96 = 4x
x = 24 metres
Therefore, the dimensions of the plot are 24 metres by 4 metres.
2. Find the dimensions of the larger rectangle including the pathway:
Length of larger rectangle = 24 + 2 + 2 = 28 metres
Width of larger rectangle = 4 + 2 + 2 = 8 metres
3. Calculate the area of the larger rectangle:
Area = Length x Width
Area = 28 x 8 = 224 sq. m
4. Find the area of the pathway:
Area of pathway = Area of larger rectangle - Area of the plot
Area of pathway = 224 - 96 = 128 sq. m
5. Calculate the total cost of construction:
Total cost = Area of pathway x Rate of construction
Total cost = 128 x 50 = Rs.6400

Conclusion
Therefore, the total cost of construction for the pathway around the rectangular plot is Rs.6400. Since this option is not provided in the choices, the correct answer is 'Data inadequate'.
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2 metres broad pathway is to be constructed around a rectangular plot on the inside. The area of the plot is 96 sq. m. The rate of construction is Rs.50 per square metre. Find the total cost of the construction.a)Rs.2400b)Rs.4000c)Rs.4800d)Data inadequatee)None of theseCorrect answer is option 'D'. Can you explain this answer?
Question Description
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