Answer:
4 cm^2/cm
Step-by-step explanation:
The area of a square is given by the equation:
[tex]Area = side^2[/tex]
To find the rate at which the area increases, we just need to find the derivative of the area in relation to the side:
[tex]dA/ds = 2*side[/tex]
So, when the side length is 2 cm, the rate at which the area increases is:
[tex]dA/ds = 2*2 = 4\ cm^2/cm[/tex]
When the side length is 2 cm, the area increases at 4 cm^2/cm.
