Question
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.
Answers
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.
√(8^2 - x^2)
Now you have the height and the length (2x), so the rest is a cinch.
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