Question

In the figure below, the diagonals of the quadrilateral ABCD are perpendicular to each other.

Answer 1

It is given that diagonals of the quadrilateral ABCD are perpendicular to each other.

Also, AC = 26 cm and BD = 20 cm

Area of ΔABD =

Area of ΔBCD =

Now, area of the quadrilateral ABCD = Area of ΔABD + Area of ΔBCD

= (10 cm × AE) + (10 cm × CE)

= 10 cm × (AE + CE)

= 10 cm × AC

= 10 cm × 26 cm

= 260 cm²