pre-calc

a semicircle of radius r=3x is inscribed in a rectangle so that the diameter of the semicircle is the length of the rectangle
1. express the area A if the rectangke as a function
2 express the perimeter P of the rectamgle as a function of x

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  1. Clearly, since we have a semicircle, the width of the rectangle is half the length. So,

    A = (3x/2)(3x)
    P = 2(3x/2 + 3x)

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