Answer
The area of the given figure, according to the variables shown is\[A=2{{a}^{2}}+ab\].
Work Step by Step
We have to find a formula for the area of the given figure. The figure consist of two squares, each of side a units and a rhombus of sides equal to a units and height equal to b units. For finding out the formula, we have to add the formulas of the figures that make up this figure, according to the given variables.
Area of a square of side a units as a follows:
\[{{A}_{1}}={{a}^{2}}\]
Area of a rhombus of sides equal to a units and height equal to b units is as follows:
\[{{A}_{2}}=ab\]
So, the total area of the figure will be as follows:
\[\begin{align}
& A={{a}^{2}}+{{a}^{2}}+ab \\
& =2{{a}^{2}}+ab\text{ }
\end{align}\]
Hence, the area of the given figure, according to the variables shown is\[A=2{{a}^{2}}+ab\].