A rectangle is inscribed in a semicircle of radius 4 so that its base lies on the…

MATHEMATICS · Single correct · AP · Calculus AB · Analytical Applications of Differentiation · Analytical Applications of Differentiation

Problem

A rectangle is inscribed in a semicircle of radius 4 so that its base lies on the diameter of the semicircle and its two upper vertices lie on the semicircular arc. Which of the following is the maximum possible area of the rectangle, in square units? (a) 88 (b) 1616 (c) 838\sqrt{3} (d) 645\dfrac{64}{5}

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