Answer: 58 yards of twine is needed to wrap 29 cartons .
Explanation:
Length of twine to wrap each carton = 1 yard 2 feet 4 inches
As we know that
[tex]1\ yard=3\ feet[/tex]
And
[tex]1\ feet=12\ inches[/tex]
So, we have
[tex]3\ feet+2\ feet+12\ inches\\\\=5\ feet+12\ inches\\\\=5\times 12+12\ inches\\\\=60+12\ inches\\\\=72\ inches[/tex]
Number of cartons he has to pack = 29
Now, length of twine he will needed for 29 cartons is given by
[tex]72\times 29=2088\ inches[/tex]
As we need to change it into larger units i.e. yards
So,
[tex]2088\ inches=58\ yards[/tex]
Hence, 58 yards of twine is needed to wrap 29 cartons .