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We can divide the figure into two rectangles, as shown below
Therefore,
[tex]A=A_{upper}+A_{lower}=(5x-3)(x+2)+(x+1)(3x-2)[/tex]Simplify as shown below
[tex]\begin{gathered} \Rightarrow A=5x^2+7x-6+3x^2+x-2=8x^2+8x-8 \\ \Rightarrow A=8x^2+8x-8 \end{gathered}[/tex]