In the figure ABCD is a quadrilateral in which diagonal BD = 64 cm, AL BD and CM BD such that AL = 16.8 cm and CM = 13.2 cm. Calculate the area of the quadrilateral ABCD.

According to the question,

In order to find the area of quadrilateral ABCD,

At first,

We will find the area of triangle ABD and triangle BCD respectively.

And, then we’ll add them.

Hence,

Area of ΔABD =

=

=

= 537.6 cm^{2}

Area of ΔBCD =

=

=

= 422.4 cm^{2}

Now,

Area of quadrilateral ABCD = Area of ΔABD + Area of ΔBCD

= 537 + 422.4

= 960 cm^{2}

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