Section 4: Soil and Water Conservation Engineering
Soil and Water Erosion
Subtopic: Mechanics of soil erosion – wind and water erosion
Question Statement:
The area of a rectangular field was measured using a 30 m survey chain, which was later found to be 5 cm short. If the length and width of the field measured using this chain were 542 m and 554 m, respectively, the true area of the field in ha is________. [round off to two decimal places]
Official Answer Key:
29.90 to 29.95
Step-by-Step Solution & Explanation
• True chain length = 30 − 0.05 = 29.95 m; correction factor = (True length/Nominal length) = 29.95/30 = 0.998333
• True area = Measured area × (correction factor)² = (542×554) × (0.998333)²
• Measured area = 300,268 m²; correction factor² = 0.996672
• True area = 300,268 × 0.996672 = 299,268.6 m² = 29.93 ha
Computed value: 29.93 ha (within official range 29.90–29.95)
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