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    Question

    A circle touches all four sides of a quadrilateral. If

    AB = 12 cm, BC = 22 cm, and AD = 18 cm, then what is the length of CD?
    A 28cm Correct Answer Incorrect Answer
    B 24cm Correct Answer Incorrect Answer
    C 18cm Correct Answer Incorrect Answer
    D 12cm Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    Let length of CD = x When all four sides of a quadrilateral touch a circle, then the opposite sides of that quadrilateral are equal. Then-    AD +BC = AB +CD 18 +22 = 12 + x 12 + x = 40 X = 28cm

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