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A rectangular plot was measured with a 20 m chain and its size was established as 450 m x 250 m. Later on, it was found that the chain used for measuring the sides of plot was 15 cm too long. What is the true area of the plot?
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A rectangular plot was measured with a 20 m chain and its size was est...
Rectangular plot size:
- Length: 450 m
- Width: 250 m
Measurement discrepancy:
- Chain length used: 20 m
- Chain length discrepancy: 15 cm
Finding the correct chain length:
To find the correct chain length, we need to consider the discrepancy in the measurement. The discrepancy is given as 15 cm, which is equivalent to 0.15 m. We need to subtract this discrepancy from the chain length used.
Correct chain length = Chain length used - Discrepancy
Correct chain length = 20 m - 0.15 m
Correct chain length = 19.85 m
Calculating the true dimensions:
To calculate the true dimensions of the plot, we need to divide the measured length and width by the corrected chain length.
True length = Measured length / Correct chain length
True length = 450 m / 19.85 m
True length = 22.67 chains
True width = Measured width / Correct chain length
True width = 250 m / 19.85 m
True width = 12.59 chains
Calculating the true area:
The true area of the plot can be calculated by multiplying the true length and width.
True area = True length * True width
True area = 22.67 chains * 12.59 chains
True area = 285.20 chains²
Conclusion:
The true area of the rectangular plot, considering the discrepancy in the chain length, is 285.20 chains².
- Length: 450 m
- Width: 250 m
Measurement discrepancy:
- Chain length used: 20 m
- Chain length discrepancy: 15 cm
Finding the correct chain length:
To find the correct chain length, we need to consider the discrepancy in the measurement. The discrepancy is given as 15 cm, which is equivalent to 0.15 m. We need to subtract this discrepancy from the chain length used.
Correct chain length = Chain length used - Discrepancy
Correct chain length = 20 m - 0.15 m
Correct chain length = 19.85 m
Calculating the true dimensions:
To calculate the true dimensions of the plot, we need to divide the measured length and width by the corrected chain length.
True length = Measured length / Correct chain length
True length = 450 m / 19.85 m
True length = 22.67 chains
True width = Measured width / Correct chain length
True width = 250 m / 19.85 m
True width = 12.59 chains
Calculating the true area:
The true area of the plot can be calculated by multiplying the true length and width.
True area = True length * True width
True area = 22.67 chains * 12.59 chains
True area = 285.20 chains²
Conclusion:
The true area of the rectangular plot, considering the discrepancy in the chain length, is 285.20 chains².
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A rectangular plot was measured with a 20 m chain and its size was established as 450 m x 250 m. Later on, it was found that the chain used for measuring the sides of plot was 15 cm too long. What is the true area of the plot?
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A rectangular plot was measured with a 20 m chain and its size was established as 450 m x 250 m. Later on, it was found that the chain used for measuring the sides of plot was 15 cm too long. What is the true area of the plot? for Civil Engineering (CE) 2024 is part of Civil Engineering (CE) preparation. The Question and answers have been prepared according to the Civil Engineering (CE) exam syllabus. Information about A rectangular plot was measured with a 20 m chain and its size was established as 450 m x 250 m. Later on, it was found that the chain used for measuring the sides of plot was 15 cm too long. What is the true area of the plot? covers all topics & solutions for Civil Engineering (CE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A rectangular plot was measured with a 20 m chain and its size was established as 450 m x 250 m. Later on, it was found that the chain used for measuring the sides of plot was 15 cm too long. What is the true area of the plot?.
A rectangular plot was measured with a 20 m chain and its size was established as 450 m x 250 m. Later on, it was found that the chain used for measuring the sides of plot was 15 cm too long. What is the true area of the plot? for Civil Engineering (CE) 2024 is part of Civil Engineering (CE) preparation. The Question and answers have been prepared according to the Civil Engineering (CE) exam syllabus. Information about A rectangular plot was measured with a 20 m chain and its size was established as 450 m x 250 m. Later on, it was found that the chain used for measuring the sides of plot was 15 cm too long. What is the true area of the plot? covers all topics & solutions for Civil Engineering (CE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A rectangular plot was measured with a 20 m chain and its size was established as 450 m x 250 m. Later on, it was found that the chain used for measuring the sides of plot was 15 cm too long. What is the true area of the plot?.
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