The side of a square sheet is increasing at the rate of 4cm per minute. At what rate is the area increasing when the side is 8 cm long?

Explanation

Given : `A=x^{2}` and `frac{d x}{d t}=4 {cm} / min`


Let `x` be the side of the square and `A` be its area at any time t.Then,



`A=x^{2}`




`Rightarrow frac{d A}{d t}=2 x frac{d x}{d t}`



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