Question

What are the dimensions of your paper square? What is the length of the diagonal? Write your answer in exact form ( with a radical) and decimal form.

Answer 1

Given:

The dimension of the given paper is,

`\begin{gathered} l=8.5in \\ b=11in \end{gathered}`

To find:

The dimension of the square paper and the length of the diagonal after folding the paper to the smallest side and trimming it.

Step-by-step explanation:

If we fold the given paper to the lower opposite side and trim off the excess paper, then new dimensions would be,

`\begin{gathered} l=8.5in \\ b=8.5in \end{gathered}`

Which is a square of side a = 8.5 inches. Because all sides are equal.

Using the length of the diagonal formula,

`\begin{gathered} l=√(2)a \\ l=√(2)*8.5 \\ l=8.5√(2)in \end{gathered}`

Final answer:

The dimensions of the square paper are,

`a=8.5in`

The length of the diagonal is,

`l=8.5√(2)in`