Correct. Separate the patio into a trapezoid and a parallelogram.

Area of the trapezoid: $\displaystyle{\left(\frac{{{9}+{12}}}{{2}}\right)}\cdot{4}={42}\usepackage{cmbright}\Huge\$

Area of the parallelogram: $\displaystyle{5}\cdot{12}={60}\usepackage{cmbright}\Huge\$

The area of the entire patio is: $\displaystyle{A}={42}+{60}={102}\usepackage{cmbright}\Huge\$

Multiply the area by 2 to find the cost of the tiles: $\displaystyle{102}\cdot{2}={204}\usepackage{cmbright}\Huge\$ dollars