Answer
$$13\frac{3}{4}\ in.$$
Work Step by Step
We have
$$ P=2(l+w)=2(4\frac{1}{8}+2\frac{3}{4})=2(4\frac{1}{8}+2\frac{6}{8})\\ =2(6\frac{7}{8})=12\frac{14}{8}\ in=13\frac{6}{8}\ in =13\frac{3}{4}\ in.$$
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