Correct. To find the area of the entire space, multiply $\displaystyle{\left({2}{r}\right)}{\left({3}{r}+{4}{y}\right)}\usepackage{cmbright}\Huge\$ . This simplifies to $\displaystyle{2}{r}{\left({3}{r}\right)}+{2}{r}{\left({4}{y}\right)}={6}{{r}}^{{2}}+{8}{r}{y}\usepackage{cmbright}\Huge\$ .