calculus

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A Norman window has the shape of a rectangle surmounted by a semicircle as in the figure below. If the perimeter of the window is 37 ft, express the area, A, as a function of the width, x, of the window.

How do you do this problem?

  • calculus -

    Perimeter=w+2h+pi*w.2

    area=lw+1/2 PI (w/2)^2
    now go to the perimeter equation, and solve for l, then put it in the area equation?

  • calculus -

    60.1

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