The perimeter is the sum of the side lengths: $\displaystyle{P}={5}+{3}+{6}+{6}+{10}={30}\usepackage{cmbright}\Huge\$

The right triangle has base $\displaystyle{6}-{3}={3}\usepackage{cmbright}\Huge\$ and height $\displaystyle{10}-{6}={4}\usepackage{cmbright}\Huge\$ . Its area is $\displaystyle{A}={\left(\frac{{1}}{{2}}\right)}{3}\cdot{4}={6}\usepackage{cmbright}\Huge\$

The area of the square is $\displaystyle{A}={{6}}^{{2}}={36}\usepackage{cmbright}\Huge\$ . The total area is $\displaystyle{6}+{36}={42}\usepackage{cmbright}\Huge\$ .