Where Should You Tether a Dog for Maximum Play Area?

In summary, the conversation discusses the maximum area a dog can play in if it is tethered by a 20ft leash at various points (A,B,C). The question also prompts to find the distance from point A to the corners of the bottom wall in order to determine the shape of the area.
  • #1
kalbert
1
0
I am really not sure where to even start with this question, at which point, (A,B,C) would the dog have a maximum area to play if tethered by a 20ft leash?
 

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  • #2
If the dog's leash is tied at point A, for example, how much area could be swept out by a 20-ft leash? What shape does the area have? Rinse and repeat for the other points indicated.
 
  • #3
kAlbert said:
I am really not sure where to even start with this question, at which point, (A,B,C) would the dog have a maximum area to play if tethered by a 20ft leash?

Since point A is in the middle of the upper wall, it's pretty obvious that the furthest distance from this point would be at either corner on the bottom wall. Can you find the distance from A to either of those corners?
 

Related to Where Should You Tether a Dog for Maximum Play Area?

1. What is a rectangle?

A rectangle is a two-dimensional shape with four sides and four angles. It has two pairs of equal-length sides that are parallel to each other, and all of its interior angles are right angles.

2. How do you find the area of a rectangle?

To find the area of a rectangle, you multiply the length by the width. The formula for area is A = l * w, where A is the area, l is the length, and w is the width. For example, if a rectangle has a length of 5 units and a width of 3 units, its area would be 5 * 3 = 15 square units.

3. What is the perimeter of a rectangle?

The perimeter of a rectangle is the total distance around its outer edges. To find the perimeter, you add together the lengths of all four sides. The formula for perimeter is P = 2l + 2w, where P is the perimeter, l is the length, and w is the width. For instance, if a rectangle has a length of 5 units and a width of 3 units, its perimeter would be 2(5) + 2(3) = 16 units.

4. Can a rectangle have equal sides?

No, a rectangle cannot have equal sides. By definition, a rectangle has two pairs of equal-length sides that are parallel to each other, but the two pairs must be of different lengths. If all four sides of a shape are equal, it would be classified as a square, not a rectangle.

5. How many lines of symmetry does a rectangle have?

A rectangle has two lines of symmetry - one horizontal and one vertical. This means that if you were to fold the rectangle in half along either of these lines, the two halves would match up perfectly. Additionally, a rectangle has rotational symmetry of 180 degrees, meaning it looks the same when rotated 180 degrees around its center point.

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