A fitness club wants to set up stations for four different workouts around the shelves of free weights in the middle of the room
. The trainer wants the distance from the free weights to each station to be the same, so he uses a rectangular shape, as shown in the diagram. A rectangle is shown. Diagonals are drawn from each point to the opposite point and intersect in the middle. The top left point is push-ups, the top right point is Jump rope, the bottom left point is lunges, the bottom right point is sit-ups, and the middle point is free weights. The distance from push-ups to lunges is 3 feet. The distance from sit-ups to free weights is 2.5 feet.
What is the distance from the free weights to the push-up station?
What is the distance from the jump-rope station to the sit-up station?
What is the distance from the push-up station to the jump-rope station?
What is the distance from the lunge station to the jump-rope station?