#### Answer

$46\text{ inches}
$

#### Work Step by Step

The total length can be found by multiplying the number of pieces by the length of each piece.
Thus,
Total length
$\require{cancel}
\\=8 \times 5\frac{3}{4}
\\=8 \times \frac{4(5)+3}{4}
\\=8 \times \frac{23}{4}
\\=\cancel{8}2 \times \frac{23}{\cancel{4}}
\\=46\text{ inches}
$