Area of rectangle could be determined with a = l × w
plug in the algebraic expression into the formula l × w = a 3 × (3n² - 2) = -3 9n² - 6 = -3 9n² = -3 + 6 9n² = 3 divide both side by 3 3n² = 1 n² = 1/3 n = [tex] \sqrt{ \dfrac{1}{3} } [/tex] n = [tex] \dfrac{ 1 }{ \sqrt{3} } [/tex] Rationalization of root form n = [tex]\dfrac{1 }{ \sqrt{3}} \times \dfrac{\sqrt{3} }{ \sqrt{3}}[/tex] n = [tex] \dfrac{1}{3} \sqrt{3} [/tex]
The value of n is [tex] \boxed{\dfrac{1}{3} \sqrt{3}} [/tex]
