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Optimization

AP Calculus AB· difficulty 3/5

The largest rectangle inscribed in the right triangle with legs aa and bb (legs along the axes, hypotenuse from (a,0)(a,0) to (0,b)(0,b)) has area

  • A

    ab3\tfrac{ab}{3}

  • B

    abab

  • C

    ab4\tfrac{ab}{4}

    check_circle
  • D

    ab2\tfrac{ab}{2}

Explanation

Half the triangle's area: ab/4ab/4 (well-known optimization result).

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