Question

15 cm14cm23 cm19 cm34 cm

Answer 1

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:

$A=base*height.$

Therefore, the area of the parallelogram is:

$A=14cm*23cm=322cm^2.$

Now, the area of a trapezoid is given by the following formula:

$A=\frac{base+Base}{2}*height.$

Therefore, the area of the trapezoid is:

$A=\frac{34cm+15cm}{2}*19cm=465.5cm^2$

Finally, we get that the area of the whole figure is:

$322cm^2+465.5cm^2=787.5cm^2.$

Answer:

$\begin{equation*} 787.5cm^2. \end{equation*}$