Question

divide the square into sixths.

Explanation:

Step1: Understand the Goal

We need to divide the square into 6 equal parts (sixths). A square has 4 sides, and we can use either horizontal, vertical, or a combination of both divisions. Since \( 6 = 2\times3 \) or \( 3\times2 \), we can divide the square into 2 equal vertical sections and then 3 equal horizontal sections (or vice - versa) to get 6 equal parts.

Step2: Plan the Division

First, divide the square vertically into 2 equal columns. Then, divide each of these columns horizontally into 3 equal rows. Alternatively, divide the square horizontally into 3 equal rows and then each row vertically into 2 equal columns. Let's choose the vertical - then - horizontal approach.

1. For vertical division: Draw a vertical line through the center of the square, parallel to the left and right sides, so that we have 2 equal - width columns.
2. For horizontal division: In each of the 2 columns, draw 2 horizontal lines (parallel to the top and bottom sides) such that the height of each row is one - third of the square's height. This will create \( 2\times3 = 6 \) equal - sized rectangles (since each column is divided into 3 rows, and there are 2 columns).

(Note: Since this is a drawing - based problem, the actual drawing would involve using the '+' and '-' buttons to add lines. But the concept is to create 6 equal areas. If we were to represent the square with side length \( s \), the area of each sixth would be \( \frac{s\times s}{6}=\frac{s^{2}}{6} \).)

Answer:

To divide the square into sixths, we can divide it into 2 equal vertical sections and then 3 equal horizontal sections (or 3 equal horizontal sections and then 2 equal vertical sections) such that the square is partitioned into 6 equal - area regions. (The actual drawing would be done by adding appropriate lines using the given '+' and '-' buttons to create 6 equal parts.)