Answer
The length of the rectangle is $9$ centimeters.
Work Step by Step
Let the length of the rectangle is $=l$.
Width of the rectangle is $w=4$ centimeters.
Perimeter of the rectangle $P=26$ centimeters.
Perimeter formula for the rectangle is
$\Rightarrow P=2(l+w)$
Substitute $26$ for $P$ and $8$ for $h$.
$\Rightarrow 26=2(l+4)$
Simplify.
$\Rightarrow 26=2l+8$
Subtract $8$ from each side.
$\Rightarrow 18=2l$
Divide each side by $2$.
$\Rightarrow 9=l$
Hence, the length of the rectangle is $9$ centimeters.
