The Golden Ratio phi is approximately 1.618. If a rectangle has its sides in the Golden Ratio and the shorter side is 10 cm, what is the approximate length of the diagonal?

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EEJ MAIN Aptitude QUESTION #11025

Question 1

The Golden Ratio $\phi$ is approximately $1.618$. If a rectangle has its sides in the Golden Ratio and the shorter side is $10$ cm, what is the approximate length of the diagonal?

$16.2$ cm
$19.1$ cm✔️
$22.4$ cm
$26.2$ cm

Correct Answer Explanation

Longer side = $10 \times 1.618 = 16.18$ cm. Diagonal = $\sqrt{10^2 + 16.18^2} = \sqrt{100 + 261.79} = \sqrt{361.79} \approx 19.02$ cm $\approx 19.1$ cm.

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