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    If the length of the diagonals of a rhombus are 12 cm and 16 cm, then the area of the rhombus will be:
    Question

    If the length of the diagonals of a rhombus are 12 cm and 16 cm, then the area of the rhombus will be:

    A.

    64 cm2cm ^ 2​​

    B.

    80 cm2cm ^ 2​​

    C.

    192cm2192 cm ^ 2​​

    D.

    96 cm2cm ^ 2​​

    Correct option is D

    Given:
    d1=12 cm,d2=16 cmd_1 = 12 \text{ cm},\quad d_2 = 16 \text{ cm}\\[6pt]​​
    Area of a rhombus =12×d1×d2 = \frac{1}{2} \times d_1 \times d_2\\[6pt]​​
    Area =12×12×16 = \frac{1}{2} \times 12 \times 16\\[6pt]​​
    Area =12×192 = \frac{1}{2} \times 192\\[6pt]​​
    Area =96 cm2 = 96 \text{ cm}^2
    Correct answer is (d)
    Alternate Solution:

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