K. 52. The Figure shows the planned footpaths for a park in a city. What is the total length of the paths to be constructed if the lengths of the two kinds of segments marked in the diagram are 60 metres and 30 metres, respectively?

(6 points)

Deadline expired.

Sorry, the solution is published in Hungarian only.

Megoldás: Legyen a kör sugara 30+x méter. Az x, 60, 30+x oldalú derékszögű háromszögre felírva a Pitagorasz-tételt: x²+60²=(x+30)², ebből x=45 méter. Az összes megépítendő út hossza tehát: 10^.75+6^.60+150^.1581,24 méter.

Statistics on problem K. 52. 210 students sent a solution. 6 points: 68 students. 5 points: 43 students. 4 points: 37 students. 3 points: 18 students. 2 points: 12 students. 1 point: 13 students. 0 point: 17 students. Unfair, not evaluated: 2 solutions.