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GATE 2022 AG – Question 31

Soil and Water Conservation Engineering · Surveying and Leveling · 1 mark · Numerical answer

A rectangular field measures 542 m by 554 m using a nominal 30 m chain later found 5 cm short. Find true area in hectares, to two decimals.

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Correct answer: 29.90 to 29.95

Explanation

Actual chain length is 29.95 m, so each recorded dimension is multiplied by 29.95/30. Area correction is the square of this ratio: $A=542(554)(29.95/30)^2/10000=29.92679$ ha. Thus **29.93 ha**. A short chain makes recorded distances too large.

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