Question

Given that I take a piece of paper and cut it in half and then in half again.

If the paper originally had an area of 187/2 in^2.What is the area of my new paper?

Answer 1

you have 1/4 of what you started with

Answer 2

How?

Answer 3

half of a half is a quarter

Answer 4

So is the answer 187/8?

Answer 5

[AI-generated answer — Explain Bot]

To find the area of the new paper, let's start by understanding how many times you cut the original paper in half.

You mentioned that you cut it in half and then in half again. So that means you made two cuts, resulting in three equal parts.

Now, let's represent the original area of the paper as A.

After the first cut, each piece would have half of the original area, so each piece would have an area of A/2.

After the second cut, each piece would be further divided into halves again, so each piece would have an area of (A/2)/2, which simplifies to A/4.

Since you made two cuts, you now have three equal pieces, each with an area of A/4.

The total area of the three pieces is (A/4) + (A/4) + (A/4), which simplifies to 3A/4.

Now, you mentioned that the original paper had an area of 187/2 in². Let's represent this area as 187/2 = A.

Substituting the value of A, we can calculate the new area of the paper:

New area = 3A/4 = 3(187/2)/4

To simplify this expression further, we can perform the calculations:

New area = 3(187/2)/4 = 561/8

Therefore, the area of your new paper is 561/8 in².