Siva starts at vertex A of square ABCD with side length 10. He walks towards vertex C, along the diagonal AC. He then walks towards B, then towards D. What is the length of his path?
Siva walks 1 side length (10) and two diagonal lengths
The diagonal length can be found using the Pythagorean Theorem
d^2 = s^2 + s^2
d^2 = 10^2 + 10^2
d^2 = 200
d = sqrt 200 = 14.14 so total walking distance is 10 + 2 * (14.14) = 38.3 feet