SOLUTION: There are twelve possible pentominoes. Create a rectangle using each of the pentominoes exactly once. Show your work.

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Question 250635: There are twelve possible pentominoes. Create a rectangle using each of the pentominoes exactly once. Show your work.
Answer by checkley77(12844) About Me  (Show Source):
You can put this solution on YOUR website!
I have a program that solves this problem. It produces 2,339 unique solutions
using a 6 by 10 rectangle, a 5 by 12 rectangle with 1,010 solutions, a 4 by 15 rectangle with 1,424 solutions and a 3 by 20 rectangle with 2 solutions.
I don't think you'd be interested in the c++ program that does the work.
Besides I can't find a way to draw these rectangles with all the pieces in this system.