GATE 2022 AR — Planning – Question 17

Design and Graphics · Ergonomics, Ratio and proportion, Scales in design, Organization of space · 1 mark · Multiple choice

Which ratio represents the Golden Ratio?

$1:\sqrt{2}$
$2:(1+\sqrt{5})$
1:1
16:9

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Show answer and explanation

Correct answer: (B) $2:(1+\sqrt{5})$

Explanation

The golden number is φ=(1+√5)/2≈1.618. A short-to-long proportion is 1:φ; multiplying both terms by 2 gives 2:(1+√5), option B. The square-root-of-two proportion and 16:9 are different rectangles.

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