You can break the shape up into a rectangle and a right triangle.
Use your trig ratios to find the missing sides.
Add all the sides up and you have your perimeter!
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<em>*notice how one of the 10 is left out because it is inside the shape so we can't use that to find perimeter.</em>
The result is x^2 +x +4 -21/(x+3).
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Polynomial long division tends to be easier than numerical long division because the quotient term never needs adjustment. It is always the ratio of the highest degree terms of the dividend and divisor.
See the attachment for the intermediate steps.
