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    Find the area of a rhombus whose diagonals are 12 cm and 15 cm long.
    Question

    Find the area of a rhombus whose diagonals are 12 cm and 15 cm long.

    A.

    45 cm²

    B.

    60 cm²

    C.

    90 cm²

    D.

    80 cm²

    Correct option is C

    Given:
    Diagonal1( d1d_1) = 12 cm
    Diagonal2( d2d_2) = 15 cm

    Concept Used:

    Area of rhombus=12×d1×d2\text{Area of rhombus} = \frac{1}{2} \times d_1 \times d_2​​

    Solution:-

    Applying the formula;

    Area of the rhombus = 12×(12×15)=90 cm2\frac{1}{2} \times (12 \times 15) = 90 \, \text{cm}^2​​

    Therefore, the area of the rhombus is 90 cm2.​

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