Question

The area of the given figure is:

Options

• AC × BD

• `1/2 xx AC xx BD`

• `1/2 xx AB xx BD`

• `1/2 xx (AD + BC) xx BD`

Answer 1

`bb(1/2 xx AC xx BD)`

Explanation:

The given figure is a kite-like quadrilateral composed of two triangles sharing the common diagonal AC as their base, with heights OB and OD such that BD = OB + OD. The total area is the sum of the areas of triangle ABC and triangle ADC, which simplifies to \[\frac{1}{2} \times \text{AC} \times \text{BD}\].