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Paolo was asked to find the original dimension of an enlarged pentagon, His solution is shown next to the pentagons. What error did Paolo make in his solution?

Paolo was asked to find the original dimension of an enlarged pentagon, His solution is shown next to the pentagons. What error did Paolo make in his solution? class=

Answer :

The error was that; Pablo set up an incorrect proportion

Here, we want to get the error made by Pablo

Mathematically, when two shapes are similar, the ratio of their corresponding sides are equal

Thus, we have it that;

[tex]\begin{gathered} \frac{x}{3}=\text{ }\frac{8}{12} \\ \\ 12\times\text{ x = 8}\times3 \\ 12x\text{ = 24} \\ x\text{ = }\frac{24}{12} \\ x\text{ =2} \end{gathered}[/tex]

So, what we can see here is that he set up the wrong proportion

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