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]
