Question

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

Answer 1

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

Answer 2

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.