Answer
The perimeter of the given figure is\[6a\].
Work Step by Step
The perimeter of compound shapes can be determined by adding up all of its sides. Here in the given figure, there are two equilateral triangles and one square. The side of the figure is a.
Compute the perimeter of the figure as shown below:
\[\begin{align}
& P=\text{ Sum of all sides} \\
& =a+a+a+a+a+a \\
& =6a
\end{align}\]
where, 4a is the perimeter of the equilateral triangle and \[2a\] is the perimeter of two remaining sides of a square.
Hence, the perimeter of the given figure is\[6a\].
