Q1. A park, in the shape of a quadrilateral ABCD, has , , , and . How much area does it occupy?
From the figure:
We have joined the BD to form two triangles so that the calculation of the area will be easy.
In triangle BCD, by Pythagoras theorem
The area of triangle BCD can be calculated by,
and the area of the triangle DAB can be calculated by Heron's Formula:
So, the semi-perimeter of the triangle DAB,
Therefore, the area will be:
Then, the total park area will be:
Hence, the total area of the park is