[tex]L = 24 \: cm[/tex]
[tex]l = \frac{3}{4} \times L[/tex]
[tex]l = \frac{3}{4} \times 24 = 3 \times 6 = 18 \: cm[/tex]
[tex]P = 2(L + l)[/tex]
[tex]P = 2(24 + 18)[/tex]
[tex]P = 2 \times 42[/tex]
[tex]P = 84 \: cm[/tex]
[tex] \frac{l}{P} = \frac{18}{84} = \frac{9}{42} = \frac{3}{14} [/tex]