Solve for b
b=\frac{a^{2}}{12}
a\geq 0
Solve for a
a=2\sqrt{3b}
b\geq 0
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3b=\frac{a^{2}}{4}
Square both sides of the equation.
\frac{3b}{3}=\frac{a^{2}}{3\times 4}
Divide both sides by 3.
b=\frac{a^{2}}{3\times 4}
Dividing by 3 undoes the multiplication by 3.
b=\frac{a^{2}}{12}
Divide \frac{a^{2}}{4} by 3.
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