A dinosaur is tied to one corner of a 20 by 20 foot barn on a 50 foot leash. How much total area can the dinosaur hunt in?I need an explanation step by step. thanks.
Relist: I prefer a second opinion.
The answer is 400 square feet (20 ft x 20 ft).If the dinosaur was NOT on a leash, it could could hunt anywhere in the barn.Since the dinosaur IS on a leash, it may be limited in the area it can hunt.Since the problem said he was tied to one corner of the barn, the furthest point in the barn is to the opposite corner. Use the Pythagorean formula to calculate the distance across the barn:(Distance across barn)^2 = 20^2 + 20^2=400 + 400 = 800Distance across barn = √800 ≈ 28.3 ftSince the furthest distance between any two points in the barn is only 28.3 ft and the dinosaur's leash is 50 ft, the leash is not limiting any movement in the hunting area.Therefore the dinosaur's hunting area is the area of the barn which = 20 x 20 = 400 sq ft.Please rate me and accept if I've answered your question.Don
I saw from your previously posted question that perhaps the scenario is that the dinosaur is OUTSIDE the barn. If this is the case, please let me know as that is clearly a different problem. I saw that Mijcar answered you and I agree completely with his solution. I could try to offer you my second opinion and can provide a better drawing, but it's going to be the same answer.Don41067.6498814815