Shenelle has 100 meters of fencing to build a rectangular garden. The garden’s area (in square meters) as a function of the garden’s width w

Question

Shenelle has 100 meters of fencing to build a rectangular garden. The garden’s area (in square meters) as a function of the garden’s width www (in meters) is modeled by: a(w)=-(w-25)^2+625. What is the maximum area possible?

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Latifah 5 months 2021-08-25T08:08:59+00:00 2 Answers 20 views 0

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    0
    2021-08-25T08:10:05+00:00

    Answer:

    625 metres

    Step-by-step explanation:

    Given the area function expressed as a(w)=-(w-25)^2+625.

    The maximum area occurs at when da/dw = 0

    da/dw = -2(w-25)

    0 = -2(w-25)

    -2(w-25) = 0

    w – 25  = 0

    w = 25

    Substitute w = 25 into the modeled equation;

    Recall a(w)=-(w-25)^2+625.

    a(25)=-(25-25)^2+625

    a(25) = 0+625

    a(25) = 625

    Hence the maximum area possible is 625 metres

    0
    2021-08-25T08:10:42+00:00

    Answer:

    625

    Step-by-step explanation:

    Check the question to make sure you have the right  question

    It’s not 25

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