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Find h if the perimeter of the polygon is 33..

Find h if the perimeter of the polygon is 33..-example-1

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Okay, here we have this:

Considering the provided information, and that the perimeter is the sum of all the sides, we obtain that:


2h+1+h+2+h+1+3+2\mleft(h+1\mright)=33

Now, let's solve for h:


\begin{gathered} 2h+h+h+2\mleft(h+1\mright)+1+2+1+3=33 \\ 4h+2\mleft(h+1\mright)+1+2+1+3=33 \\ 4h+2\mleft(h+1\mright)+1+2+1+3-\mleft(1+2+1+3\mright)=33-\mleft(1+2+1+3\mright) \\ 4h+2\mleft(h+1\mright)=26 \\ 4h+2h+2=26 \\ 6h+2=26 \\ 6h=24 \\ h=(24)/(6) \\ h=4 \end{gathered}

Finally we obtain that the correct answer is the option A.

User Iamamac
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