Answer
$$ \frac{23a}{2}+12 $$
Work Step by Step
We know that the perimeter is equal to the sum of all of the individual side lengths. Adding these side lengths and simplifying, we find:
$$4a+7+a+\frac{1}{2}a+5+a+2a+3a\\ \frac{23a}{2}+12 $$
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