Answer:
[tex]the \: length \: of \: the \: shorter \: piece = 10.5 - inch[/tex]
Step-by-step explanation:
[tex]let \: the \: two \: numbers \: be : \\ x \: and \: y \\ x + y = \frac{105}{2} \\ 2(x + y) = 105 \\ if \: x \: = 4y \: \: then \\ 2(4y + y) = 105 \\ 10y = 105 \\ y = \frac{105}{10} \\ y = 10.5[/tex]