Answer:
See below
Step-by-step explanation:
[tex](a) \: \: x = \frac{c}{3} \\ \\ \implies \: {x}^{2} = { \bigg( \frac{c}{3} \bigg) }^{2} \\ \\ \bold{\implies \: {x}^{2} = \frac{ {c}^{2} }{9} } \\ \\ (b) \: \: x + y = \frac{c}{3} + \frac{ac}{4} \\ \\\implies \: \bold{x + y = \frac{4c + 3ac}{12} } \\ \\ \frac{xy}{z} = \frac{ \frac{c}{3} \times \frac{ac}{4} }{ \frac{ {a}^{2} }{2c + 1} } \\ \\ = \frac{ \frac{ac ^{2} }{12} }{ \frac{ {a}^{2} }{2c + 1} } \\ \\ = \frac{a {c}^{2} }{12} \times \frac{2c + 1}{ {a}^{2} } \\ \\ \implies\bold{\frac{xy}{z} = \frac{ {c}^{2}(2c + 1) }{12a} }[/tex]
