1.
[tex]p = \frac{ {a}^{2} \sqrt{3} }{4} = \frac{ {2}^{2} \sqrt{3} }{4} = \frac{4 \sqrt{3} }{4} = \sqrt{3} \: \: {j}^{2} [/tex]
2.
[tex]h = 4 \sqrt{3} \\ \frac{a \sqrt{3} }{2} = 4 \sqrt{3} \\ \\ a = 4 \sqrt{3} \times \frac{2}{ \sqrt{3} } = 8 \\ \\ p = \frac{ {8}^{2} \sqrt{3} }{4} = \frac{64 \sqrt{3} }{4} = 16 \sqrt{3} \: \: {j}^{2} [/tex]
3.
[tex]p = \frac{(5 \sqrt{6} {)}^{2} \sqrt{3} }{4} = \frac{75 \sqrt{3} }{2} \: \: {j}^{2} [/tex]
4.
[tex]h = \sqrt{3} \\ \frac{a \sqrt{3} }{2} = \sqrt{3} \\ a = \sqrt{3} \times \frac{2}{ \sqrt{3} } = 2 \\ \\ p = \frac{ {2}^{2} \sqrt{3} }{4} = \sqrt{3} \: \: {j}^{2} [/tex]
