Mathematics

Problem

An art installation consists of

4

straight rods connected to form a quadrilateral. The lengths are

3\,\text{m}

4\,\text{m}

12\,\text{m}

, and

13\,\text{m}

in sequential order. The angle between the first two rods (

3\,\text{m}

and

4\,\text{m}

) is

90^{\circ}

. Determine the area enclosed by the rods.