Answer
The length (inches) of each sides are $21,21,15,30,15$.
Work Step by Step
The given perimeter is $P=102$ inches.
From the crossing sign perimeter is
$\Rightarrow P=s+6+s+6+s+2s+s$
Substitute $102$ for $P$.
$\Rightarrow 102=s+6+s+6+s+2s+s$
Add like terms.
$\Rightarrow 102=6s+12$
Subtract $12$ from each side.
$\Rightarrow 102-12=6s+12-12$
Simplify.
$\Rightarrow 90=6s$
Divide each side by $6$.
$\Rightarrow \frac{90}{6}=\frac{6s}{6}$
Simplify.
$\Rightarrow 15=s$
Length of each side is
$\Rightarrow s+6=15+6=21$
$\Rightarrow 2s=2(15)=30$
Hence, the length (inches) of each side is $21,21,15,30,15$.
