You are playing the very scary video game Scaryman. Randomly generated rooms are rectangular, and each has a perimeter of 20 m. The length and width of each room is a whole number. a) What are the dimensions of the room with the least area? b) What are the dimensions of the room with the greatest area?All solutions must be submitted by noon time on Friday, October 17. Please remember: First and Last NameClassProblem of the Week #Answer done on a sheet of looseleaf (folded in fourths in order to fit into the ballot box outside of the Math Center on the Orange Team floor.)Show how you found your answer (answer only will not be eligible for draw)Put your answer in a summative phrase (sentence form) with a circle around it (makes it clearer)Make sure your work is neat (the winner's solution will be posted on the website)