Question

Solve the following

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=] The side of a square is increasing at the rate of 4cm/s How fast is its area increasing when side is 7 cm??

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Answer 1

${ \sf{Hey \: \: There!}}$

• Let the side of the square be a units

According to Question ,

It's side is increasing at the rate of 4cm/s

•°• ds/dt = 4 cm/s_____________(1)

Now we know that

• Area of a square = a² [ side × side ]

•°• Rate in change of area is given by

→ dA/dt = 2s.ds/dt

:- Now plug side = 7 cm as given in question and put value of ds/dt from [1]

=> Rate of change of area = 2 × 7 × 4

= 56 cm²/s

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