Question

divide the square into thirds.

Explanation:

Step1: Understand the Goal

We need to divide the square into three equal - area parts. A square has four sides, and we can use one of its sides (for example, the top or bottom or left or right side) to create equal divisions.

Step2: Choose a Side to Divide

Let's choose the bottom side of the square. The length of the bottom side can be considered as a line segment. We need to divide this line segment into three equal parts. Mathematically, if the length of the side is \(L\), each part should have a length of \(\frac{L}{3}\).

Step3: Draw the Dividing Lines

After dividing one side (say the bottom side) into three equal parts, we draw two vertical (or horizontal, depending on the side we choose) lines from these division points to the opposite side (the top side in this case). These two lines will divide the square into three rectangles, each with a width of \(\frac{L}{3}\) and the same height as the square, so their areas will be equal (since area of a rectangle is \(width\times height\), and the height is the same for all three, and the width is \(\frac{L}{3}\) for each).

For example, if we mark two points on the bottom side such that the distance from the left - most corner to the first point is \(\frac{L}{3}\), and from the first point to the second point is also \(\frac{L}{3}\), and from the second point to the right - most corner is \(\frac{L}{3}\). Then we draw vertical lines from these two points up to the top side. The square is now divided into three equal - area regions.

Answer:

To divide the square into thirds, divide one of its sides (e.g., the bottom side) into three equal - length segments. Then draw two lines (parallel to the other pair of sides of the square) from these segment points to the opposite side. This will create three equal - area rectangles (or regions) within the square. (The actual drawing can be done using the provided tools, for example, using the '+' and '-' buttons to adjust the drawing of the dividing lines as per the equal - length division of the side.)