A walkman path is shaped like a rectangle with a width 7 times its length l. What is a simplified expression for the distance between opposite corners of the walking path

Answer 1

you are just finding the hypotenuse of a right-angled triangle with sides l and 7l

Hyp^2 = l^2 + (7l)^2 = 50l^2
hyp = √(50l^2)
= 5√2 l