Question

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

Answer 1

Answer: Second option is correct.

Step-by-step explanation:

Since we have given that

Let the original dimension of pentagon be x

So, we have ratio as follow:

$\frac{3}{12}=\frac{x}{8}\\\\3\times 8=12\times x\\\\24=12\times x\\\\x=\frac{24}{12}=2$

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.

Answer 2

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