Question

three friends, luke, nick, and serena, are kicking a soccer ball to each other on the beach. luke kicks the ball to serena, who kicks the ball to nick, who kicks the ball back to luke. the friends locations on the beach are drawn on a coordinate plane as shown, where the x - values and y - values represent distances in feet. what is the approximate distance the ball travels after making a full rotation around the triangle of friends? a. 57.94 feet b. 144 feet c. 288 feet d. 67.91 feet

Explanation:

Step1: Find distance between points

Use distance formula $d = \sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}$.

Step2: Calculate each side

Find distances between Luke - Serena, Serena - Nick, Nick - Luke and sum them.

Step3: Get perimeter

Perimeter is total distance ball travels.

Answer:

A. 57.94 feet