Question

1. Clare has a piece of paper that is 8 inches by 10 inches. How many pieces of paper

will Clare have if she cuts the paper in half n times? What will the area of each piece
be?

Answer 1

She has
`2^n` pieces,

The area of each piece would be
`80((1)/(2))^n`

Explanation:

Given,

The piece of paper has dimension 8 inches by 10 inches,

So, the area of the paper = 8 × 10 = 80 square inches,

Now, if the pages is half cut n times,

Then the area of the final piece =
`80((1)/(2))^n`

Hence, the number of pieces =
`\frac{\text{Area of page}}{\text{Area of each piece}}`

`=(80)/(80((1)/(2))^n)`

`=2^n`