Answer: [tex]1\dfrac{3}{4}\text{ feet}[/tex]
Step-by-step explanation:
Given: Length of sandwich = [tex]10\dfrac12\text{ feet}=\dfrac{21}{2}\text{ feet}[/tex]
Total people = 14
If everyone gets a same sized piece , then length of each piece should be
[tex]\dfrac{\text{ Length of sandwich}}{\text{Total people}}[/tex]
[tex]=\dfrac{\dfrac{21}{2}}{14}\text{ feet}\\\\=\dfrac{21}{2\times14}\text{ feet}\\\\=\dfrac{7}{2\times2}\text{ feet}\\\\=\dfrac{7}{4}\text{ feet}\\\\=1\dfrac{3}{4}\text{ feet}[/tex]
Hence, length of each piece = [tex]1\dfrac{3}{4}\text{ feet}[/tex]