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    Question

    A rhombus has side 25 cm and one diagonal 14 cm. Its

    area is:
    A 442 sq cm Correct Answer Incorrect Answer
    B 336 sq cm Correct Answer Incorrect Answer
    C 252 sq cm Correct Answer Incorrect Answer
    D 125 sq cm Correct Answer Incorrect Answer

    Solution

    ATQ, Diagonals of a rhombus bisect each other at right angles. Half of one diagonal = 14/2 = 7 cm Let half of the other diagonal = x Using Pythagoras: x^2 + 7^2 = 25^2 x^2 + 49 = 625 x^2 = 576 x = 24 So second diagonal = 48 cm Area of rhombus = 1/2 x 14 x 48 = 336 sq cm

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