The side of a square sheet of metal is increasing at 3 centimetres per

1.	The side of a square sheet of metal is increasing at 3 centimetres per minute. At what rate is the area increasing when the side is 10 cm long?
Answer» Consider the side of square as a So the rate of change of side is da/dt = 3 cm/min We know that area of the square = a² Here the rate of change of area is 2a da/dt = 2 × 10 × 3 So we get dA/dt = 60 cm²/ min

The side of a square sheet of metal is increasing at 3 centimetres per minute. At what rate is the area increasing when the side is 10 cm long?

Answer»

Consider the side of square as a

So the rate of change of side is

da/dt = 3 cm/min

We know that area of the square = a²

Here the rate of change of area is

2a da/dt = 2 × 10 × 3

So we get

dA/dt = 60 cm²/ min