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Paolo was asked to find the original dimension of an enlarged pentagon. His solution is shown next to the pentagons.

Paolo was asked to find the original dimension of an enlarged pentagon. His solution-example-1
User Rujikin
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2 Answers

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The correct answer is the second choice.

Paolo made an error when he cross multiplied the proportion. He should have multiplied the 3 and the 8 and also the 12 and the x.

The second line should be:

12x = 24
User Ocuenca
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Answer: Second option is correct.

Explanation:

Since we have given that

Let the original dimension of pentagon be x

So, we have ratio as follow:


(3)/(12)=(x)/(8)\\\\3* 8=12* x\\\\24=12* x\\\\x=(24)/(12)=2

so, Paolo was asked to find the original of an enlarge pentagon.

And she did,


8x=36\\\\x=4.5

so, she made an error when he cross multiplied the proportion.

That's why she got wrong answer.

Hence, Second option is correct.

User Vladimir Kishlaly
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