GATE 2022 AR — Architecture – Question 25
A site measures 96 cm² on a 1:12500 plan. Find its actual area in hectares, as an integer.
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Correct answer: 150 to 150
Explanation
Area scales with the square of the linear scale. Actual area is 96×12500²=15000000000 cm². Since 1 hectare=100000000 cm², this equals 150 hectares. Multiplying by 12500 only once would incorrectly apply a length scale to an area.