How to draw a rectangle with a certain perimeter using geometric sketchpad

Do you know how to draw a rectangle with a certain perimeter and a specific aspect ratio? PHP editor Strawberry will share a detailed guide to drawing such rectangles with the geometric sketchpad, teaching you step by step to achieve this goal, and helping you easily master this practical skill.

Take drawing a rectangle with a circumference of 24 cm as an example. The specific operations are as follows:

Use the [Point Tool] to draw a point, and use the [Text Tool] to mark it as point A. Select point A, execute the [Transform]-[Translate] command, and set the following settings in the pop-up dialog box: select Cartesian coordinates, change the default value of [Fixed Distance] in [Horizontal Direction] to 12, and [Vertical Direction] [Fixed distance] default value is changed to 0, and finally click [Translation] to get point A'.

2. Select two points A and A’, execute the [Construct]-[Line Segment] command to construct the line segment AA’. Select the line segment AA’, execute the [Construction]-[Point on Line Segment] command, get a point and mark it as B.

3. Double-click point B to mark the center (you can see the animation flashing), then select point A', execute the [Transform]-[Rotate] command, in the pop-up dialog box Make the following settings: Select [Fixed Angle] - [90 degrees], click the rotate button, get point A'', and change it to point C.

4. Use the selection tool to select points B and A in sequence, execute the [Transform]-[Mark Vector] command to mark the vector from point B to point A. Select point C, execute the [Transform]-[Translation] command, select [Mark] in the pop-up dialog box, and click the translation button to obtain point C’ and change it to point D.

5. Select points A, B, C, and D in counterclockwise direction and execute the [Construction]-[Line Segment] command to obtain the rectangle ABCD.

6. Select points A and B and execute the [Measure]-[Distance] command to get the length of line segment AB; similarly measure the length of line segment BC. Execute the [Data]-[Calculate] command to calculate the perimeter of the rectangle. Manually drag point B and you can see the size of the rectangle change. The adjacent sides can be changed at will, but its circumference must be 24 cm.

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