Catalina skates 40 feet due north in a skating rink. Then she skates 30 feet due west, before skating diagonally across the rink back to where she started. What is the total distance Catalina skates?

Catalina skates a total of 120 feet

Step-by-step explanation:

In order to determine how far she skates, create a right triangle. We know each legs' value with one being 30 and the other 40. Now we can find the hypotenuse by using the Pythagorean Theorem.

a^2 + b^2 = c^2

30^2 + 40^2 = c^2

900 + 1600 = c^2

2500 = c^2

50 = c

Now that we have all 3 sides of the right triangle, add them together for the total distance.

30 + 40 + 50 = 120 feet