[tex]168 \sqrt{3} = \frac{Pp \times 4}{3} | \times 3 \\ 504 \sqrt{3} = Pp \times 4 | \div 4 \\ Pp = 126 \sqrt{3} [/tex]
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[tex]126 \sqrt{3} = 6 \times \frac{ {a}^{2} \sqrt{3} }{4} | \times 4 \\ 504 \sqrt{3} = 6 {a}^{2} \sqrt{3} | \div 6 \\ {a}^{2} \sqrt{3} = 84 \sqrt{3} | \div \sqrt{3} \\ {a}^{2} = 84 \\ a = \sqrt{84} \\ a = \sqrt{4 \times 21} \\ \boxed{a = 2 \sqrt{21} }[/tex]
