Pat starts with two identical square pieces of paper. On the first one, she draws straight lines that divide the paper into a 3-by-3 grid of squares. The total length of the lines she draws is 18. On the second piece of paper, Pat draws straight lines that divide the paper into a 16-by-16 grid of squares. What is the total length of the lines that Pat draws on the second piece of paper?

Guest Mar 8, 2022

#1**+1 **

What is the total length of the lines that Pat draws on the second piece of paper?

**Hello Guest!**

\(l=\dfrac{18}{2(3-1)}\cdot 2(16-1)=\color{blue}135\)

The total length of the lines that Pat draws on the second piece of paper is 135.

!

asinus Mar 8, 2022

#2**0 **

*Pat starts with two identical square pieces of paper. On the first one, she draws straight lines that divide the paper into a 3-by-3 grid of squares. The total length of the lines she draws is 18. On the second piece of paper, Pat draws straight lines that divide the paper into a 16-by-16 grid of squares. What is the total length of the lines that Pat draws on the second piece of paper?*

To divide the first paper into 3x3 grids, she has to draw 4 lines, 2 vertical and 2 horizontal.

Since the total length of these lines is 18, then one line is 18/4 = **4.5**.

To divide the second paper into 16x16 grids, she has to draw 30 lines, 15 vertical and 15 horizontal.

Since each line is 4**.**5, then the total length is (30)(4**.**5) = **135**.

_{.}

Guest Mar 8, 2022