Question Find the rate of change of the area of a square as its sides increase at $6 \mathrm{~m} / \mathrm{sec}$, when the sides are $20 \mathrm{~m}$ and $26 \mathrm{~m}$ long.

Studdy Solution
Calculate the rate of change of the area.
$$\frac{dA}{dt} = \times26 \mathrm{~m^/sec} =312 \mathrm{~m^/sec}$$a. The area of the square is changing at a rate of $240 \mathrm{~m^/sec}$ when the sides are $20 \mathrm{~m}$ long. b. The area of the square is changing at a rate of $312 \mathrm{~m^/sec}$ when the sides are $26 \mathrm{~m}$ long.