What is the area of the rhombus ABCD below if AC=12 cm and BE= 8 cm?

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What is the area of the rhombus ABCD below if AC=12 cm and BE= 8 cm?

What Is The Area Of The Rhombus ABCD Below If AC=12 Cm and ...

Options:

A . 384 cm2

B . 192 cm2

C . 48 cm2

D . 96 cm2

Answer: Option D
:
D
The diagonals of a rhombus bisect each other. Therefore, in the givenfigure:

\Rightarrow B E = D E

\Rightarrow B D = 2 \times B E

\Rightarrow B D = 2 \times 8 = 16 c m

Area of a rhombus equalshalf the product of lengthof the two diagonals.

\Rightarrow

Area of ABCD=

\frac{1}{2} \times A C \times B D

⟹

Area of ABCD=

\frac{1}{2} \times 12 \times 16 = 96 c m^{2}

.

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