Correct. The area of the blanket is $\displaystyle{5}\cdot{6}={30}\usepackage{cmbright}\Huge\$ . Adding a border of width x, the new area of the blanket is $\displaystyle{\left({5}+{2}{x}\right)}{\left({6}+{2}{x}\right)}\usepackage{cmbright}\Huge\$ . The area of the border is given by $\displaystyle{\left({5}+{2}{x}\right)}{\left({6}+{2}{x}\right)}-{\left({5}\right)}{\left({6}\right)}\usepackage{cmbright}\Huge\$ , and is equal to the total area of the border, 12. Simplifying the equation gives you $\displaystyle{0}={4}{{x}}^{{2}}+{22}{x}-{12}\usepackage{cmbright}\Huge\$ .