# Q2.    Find the area of a quadrilateral ABCD in which AB = 3 cm, BC = 4 cm, CD = 4 cm, DA = 5 cm and AC = 5 cm.

From the figure:

We have joined the AC to form two triangles so that the calculation of the area will be easy.

The area of the triangle ABC can be calculated by Heron's formula:

So, the semi-perimeter, where

Heron's Formula for calculating the area:

And the sides of the triangle ACD are

So, the semi-perimeter of the triangle:

Therefore, the area will be given by, Heron's formula

.

Then, the total area of the quadrilateral will be:

Hence, the area of the quadrilateral ABCD is

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