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29 September, 01:16

What is the rate of change of the perimeter of the square at the instant the area is 49 m2?

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  1. 29 September, 01:31
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    Let x = the length of a side of the square (m).

    The area is

    A = x²

    The perimeter is

    P = 4x

    The rate of change of P with respect to x is

    P' (x) = 4 (independent of x)

    When A = 49 m², then x = 7 m.

    The rate of P is 4.

    Answer: 4
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