Question

If the length of the diagonal of a square is increasing at the rate of \( 0.1 \) cm/secWhat is the rate of increase of its area when the side is \( \frac{15}{\sqrt{2}} \) cm?

• A. 3 cm\(^2\)/sec
• B. 0.15 cm\(^2\)/sec
• C. 1.5 cm\(^2\)/sec
• D. \( 3\sqrt{2} \) cm\(^2\)/sec

Hint:

Always relate variables first (like \( d = s\sqrt{2} \))Then differentiate to connect rates and substitute values carefully.

Answer 1

The Correct Option is C