Question

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

• A. 384 cm²
• B. 192 cm²
• C. 48 cm²
• D. 96 cm²

Answer 1

The correct option is D

96 cm²

The diagonals of a rhombus bisect each other. Therefore, in the given figure:

$\Rightarrow BE=DE$

$\Rightarrow BD=2\times BE$

$\Rightarrow BD=2\times 8=16cm$

Area of a rhombus equals half the product of length of the two diagonals.

$\Rightarrow$Area of ABCD = $\frac{1}{2}\times AC\times BD$
$⟹$Area of ABCD= $\frac{1}{2}\times 12\times 16=96c{m}^2$.