Answer
$9$
Work Step by Step
Total duct needed $t=52.6\;ft$.
One section size $a=6\;ft$.
Number of sections required
$=\frac{t}{a}$
Substitute all the values.
$=\frac{52.6\;ft}{6\;ft}$
Simplify.
$=8.766666667$
Rounded value.
$=9$.