3. What is the perimeter of the entire playing surface? *Do not count the inside lines.* Show your work to receive credit. Answers should be in simplest radical form. (2 points)

Question

You and your friend are standing diagonally across from one another on the four-square court. You are throwing the ball back and forth, waiting for two other people to join you, so you can begin the game. You are standing at the coordinate (-3, 7) and your friend is standing at the coordinate (7, -3).

Each side of the square is 2square root 3, since the length of one side is 2 square root 3
The perimeter is then 4 times the length of one side which is 4 x 2square root 3= 8 square root 3

So the perimeter of the entire playing surface is 8 square root 3



4. How far are you throwing the ball? Show your work to receive credit. Answers should be in simplest radical form. (2 points)

Answer 1

To find the distance between two points (-3, 7) and (7, -3), we can use the distance formula.

The distance formula is √((x2 - x1)^2 + (y2 - y1)^2)

Plugging in the coordinates into the formula, we get:

√((7 - (-3))^2 + (-3 - 7)^2)
= √((10)^2 + (-10)^2)
= √(100 + 100)
= √200
= 10√2

So, you are throwing the ball a distance of 10√2.