Answer
The perimeter of the figure is\[2(a+b+c+d)\].
Work Step by Step
The perimeter of compound shapes can be determined by adding up all its sides. The perimeter of the compound figure can be done by using the formula:
\[P=\text{Sum of all the sides}\]
Compute the perimeter of the figure as shown below:
\[\begin{align}
& P=\text{Sum of all sides} \\
& =a+b+c+d+\left( a+c \right)+\left( b+d \right) \\
& =2a+2b+2c+2d \\
& =2\left( a+b+c+d \right)
\end{align}\]
