To divide a page into five areas (not necessarily equal) using straight lines, we can calculate the minimum number of lines needed.

The general rule is that $n$ lines can divide a plane into a maximum of $\frac{n(n+1)}{2} + 1$ regions. This formula gives us the maximum number of regions that $n$ lines can divide a plane into.

Let's apply this step-by-step:

• For $n = 1$ line: It divides the page into 2 regions.
• For $n = 2$ lines: It divides the page into 4 regions.
• For $n = 3$ lines: It divides the page into 7 regions.

So, with 3 lines, we can divide the page into more than 5 regions. Therefore, the minimum number of lines required to divide a page into at least 5 areas is 3 lines.

Would you like more details or further clarifications?

Here are five related questions:

1. How many areas can four lines divide a page into?
2. What is the general formula for dividing a page into $k$ areas with $n$ lines?
3. Can the regions created by lines on a page be made equal? How?
4. What is the minimum number of lines to divide a page into 10 regions?
5. How does the arrangement of lines affect the number of areas created?

Tip: When trying to maximize the number of regions using lines, ensure no two lines are parallel and no three lines meet at a single point.