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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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