At an instant the diagonal of a square is increasing at the rate of \( 0.2 \mathrm{~cm} / \mathr...

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At an instant the diagonal of a square is increasing at the rate of \( 0.2 \mathrm{~cm} / \mathrm{sec} \) and the area is increasing at the rate of \( 6 \mathrm{~cm}^{2} / \mathrm{sec} \). At that moment its side, is
(A) \( \frac{30}{\sqrt{2}} \mathrm{~cm} \)
(B) \( 30 \sqrt{2} \mathrm{~cm} \)
(C) \( 30 \mathrm{~cm} \)
(D) \( 15 \mathrm{~cm} \)
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