Question 17
I have a collection of Mathematical Challenge posters, all on A3 paper, so that they are rectangular in shape and have the same measurements. I have some drawing pins which I am going to use to pin the posters on my wall. Each poster must have a pin at each of its four corners, but adjacent posters can share a pin by allowing them to overlap slightly. I want to arrange them so that they cover a rectangular area of the wall, with their longer sides vertical.
In the diagrams, 24 pins are used for 14 posters and 15 posters respectively. What is the greatest number of posters that I can pin up using 36 drawing pins?
In the diagrams, 24 pins are used for 14 posters and 15 posters respectively. What is the greatest number of posters that I can pin up using 36 drawing pins?