1.
[tex]4 \times \frac{ {a}^{2} \sqrt{3} }{4} = 4 \times \frac{(6 \sqrt{3} {)}^{2} \sqrt{3} }{4} = 4 \times \frac{36 \times 3 \sqrt{3} }{4} = 108 \sqrt{3} [/tex]
2.
[tex]36 \sqrt{3} \div 4 = 9 \sqrt{3} [/tex]
[tex] \frac{ {a}^{2} \sqrt{3} }{4} = 9 \sqrt{3} | \times 4 \\ {a}^{2} \sqrt{3} = 36 \sqrt{3} \\ {a}^{2} = 36 \\ a = \sqrt{36} \\ a = 6[/tex]