To determine the area of the figure, we will compute the area of the parallelogram and the area of the trapezoid.
Recall that the area of a parallelogram is given by the following formula:
[tex]A=base*height.[/tex]Therefore, the area of the parallelogram is:
[tex]A=14cm*23cm=322cm^2.[/tex]Now, the area of a trapezoid is given by the following formula:
[tex]A=\frac{base+Base}{2}*height.[/tex]Therefore, the area of the trapezoid is:
[tex]A=\frac{34cm+15cm}{2}*19cm=465.5cm^2[/tex]Finally, we get that the area of the whole figure is:
[tex]322cm^2+465.5cm^2=787.5cm^2.[/tex]