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The plan of old survey plotted to a scale of 5m to a 1 cm, now measures as 68cm2 as found by planimeter, found to have shrunk 30 percent that a line originally 10 cm long was 9.6 cm . a) What is the original area of the plan? b) What is the true area of land surveyed?
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The plan of old survey plotted to a scale of 5m to a 1 cm, now measure...

Original Area Calculation

- Given scale: 5m to 1 cm
- Measured area on old survey: 68 cm²
- Shrunk by 30%

a) Original Area Calculation:
1 cm on the old survey represents 5m in reality. So, 1 cm² on the old survey represents (5m)² = 25m² in reality.
Since the measured area on the old survey is 68 cm², the original area would be 68 cm² * 25m² = 1700m².

True Area Calculation

- Original line length: 10 cm
- Shrunk line length: 9.6 cm

b) True Area Calculation:
Since the line has shrunk by 30%, the new line length can be calculated as 10 cm - (10 cm * 0.30) = 9.6 cm.
This means the linear dimensions have been reduced by 30%, which also applies to the area.
So, the true area of the land surveyed would be 1700m² - (1700m² * 0.30) = 1190m².
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The plan of old survey plotted to a scale of 5m to a 1 cm, now measures as 68cm2 as found by planimeter, found to have shrunk 30 percent that a line originally 10 cm long was 9.6 cm . a) What is the original area of the plan? b) What is the true area of land surveyed?
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The plan of old survey plotted to a scale of 5m to a 1 cm, now measures as 68cm2 as found by planimeter, found to have shrunk 30 percent that a line originally 10 cm long was 9.6 cm . a) What is the original area of the plan? b) What is the true area of land surveyed? for UPSC 2025 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about The plan of old survey plotted to a scale of 5m to a 1 cm, now measures as 68cm2 as found by planimeter, found to have shrunk 30 percent that a line originally 10 cm long was 9.6 cm . a) What is the original area of the plan? b) What is the true area of land surveyed? covers all topics & solutions for UPSC 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The plan of old survey plotted to a scale of 5m to a 1 cm, now measures as 68cm2 as found by planimeter, found to have shrunk 30 percent that a line originally 10 cm long was 9.6 cm . a) What is the original area of the plan? b) What is the true area of land surveyed?.
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