A rectangle is inscribed in a semicircle with radius 8. The variable x is half the length of the rectangle. Write an expressions for the perimeter and area of the rectangle in terms of x.

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  1. Draw the diagram. It should be clear that the height of the rectangle is
    √(8^2 - x^2)

    Now you have the height and the length (2x), so the rest is a cinch.

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