GATE 2025 AR — Planning – Question 42
An actual roof area 6000 m² occupies 240 cm² on a drawing. Find scale denominator n in 1:n, to nearest integer.
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Correct answer: 500 to 500
Explanation
Convert actual area to 6000×10000=60000000 cm². Area ratio is 60000000/240=250000. Linear scale ratio is its square root, 500. Thus the drawing is 1:500. Area ratios must be square-rooted to obtain linear scale.