you have been asked to help build a rectangular play area at the new tracy elementary school. you arrive at the site eager to begin. much to your suprise, the only things available to work with are two pieces of rope.

Question

you have been asked to help build a rectangular play area at the new tracy elementary school. you arrive at the site eager to begin. much to your suprise, the only things available to work with are two pieces of rope.

Explain how you can use the rope to find the vertices of the rectangle. Include an illustration and a detailed explanation of your solution.

Answer 1

This might give you some ideas:

http://www.mathopenref.com/constangle90.html

Answer 2

Here is another

http://www.mathopenref.com/constperplinepoint.html

Answer 3

To find the vertices of a rectangle using only two pieces of rope, follow these steps:

1. Start by picking one of the two pieces of rope and laying it on the ground. This will be one side of the rectangle.
2. Take the second piece of rope and measure the same length as the first one. This will be the adjacent side of the rectangle.
3. Place one end of the second rope at one end of the first rope, creating a 90-degree angle. Hold that corner firmly.
4. Now, slowly rotate the second rope around the corner while keeping the two ropes tight. As you rotate, the end of the second rope will sweep out a curve.
5. Continue rotating the second rope until it intersects with the first rope, forming a corner. This intersection point is one of the vertices of the rectangle.
6. Mark the intersection point on the ground with a stick or by any suitable means.
7. Repeat steps 3-6 with the other end of the first rope, rotating the second rope in the opposite direction.
8. The second intersection point will be the second vertex of the rectangle.
9. Connect the two marked points on the ground with straight lines, using the ropes to guide you if needed.
10. Finally, extend the lines to complete the rectangular shape.

Illustration:
```
________
| |
| |
| x |
|________|
```
In the illustration, the first rope is represented by the horizontal line at the bottom, and the second rope is rotating from one endpoint of the first rope (x) to form the rectangle.

By using this method, you can accurately find the vertices of a rectangle using only two pieces of rope.