Question

The figure ABCD is a quadrilateral in which AB = CD and BC = AD. Its area is ______.

पर्याय

• 72 cm²

• 36 cm²

• 24 cm²

• 18 cm²

Answer 1

The figure ABCD is a quadrilateral in which AB = CD and BC = AD. Its area is 36 cm².

Explanation:

It is clear from the figure that, quadrilateral ABCD is a parallelogram. The diagonal AC of the given parallelogram ABCD divides it into two triangles of equal areas.

Area of the ΔABC = ${\displaystyle \frac{1}{2}\times \text{Base}\times \text{Height}}$

= ${\displaystyle \frac{1}{2}\times 12\times 3}$

= 18 cm²

∴ Area of parallelogram ABCD = 2 × Area of ΔABC

= 2 × 18

= 36 cm²