Correct. The polygon can be divided into a trapezoid and a rectangle. One base of the trapezoid is 2 cm and the other is $\displaystyle{10}-{5}={5}\usepackage{cmbright}\Huge\$ cm. The height of the trapezoid is $\displaystyle{3}+{1}={4}\usepackage{cmbright}\Huge\$ cm. Its area, in square centimeters, is:

$\displaystyle{A}={\left(\frac{{{2}+{5}}}{{2}}\right)}\cdot{4}={14}\usepackage{cmbright}\Huge\$

The area of the rectangle is $\displaystyle{A}={5}\cdot{1}={5}\usepackage{cmbright}\Huge\$ square centimeters.

The total area of the shape is $\displaystyle{14}+{5}={19}\usepackage{cmbright}\Huge\$ square centimeters.