Tuesday, February 28, 2012

Power Up with Pentominoes!

OK, so you're on a quest!  You know what that is, right?  If not, you should look it up - because you are on a quest.  Your mission (and yes, you will choose to accept it) is to complete the Pentomino Puzzle.  You already know how many pentominoes there are, right?  Yes, yes, you do.  So, the next challenge is to put those ___ pieces together into some amazing shapes. 

1) Create a 6 X 10 square block rectangle using all of the shapes. What is the area of your creation?  What is the perimeter?

2) You can make enlargements of each pentomino that will be 3 times the height and width of the original piece. (Note to self: How many squares would that be?)  Each will contain or occupy 45 squares, the equivalent of 9 pieces.   Make enlargements of F, I, L, N, P, T, U, V, W, Y, and Z using 9 pentominoes for each but leaving out the shape in questions - that is the shape you're trying to create.

3) A 5 X 13 rectangle has 65 squares, which is five more than those occupied by the full set of pentominoes.  Let’s try to arrange the five block gap to be in the shape of a pentomino, an absent friend.   For example, in a 5 x 13 rectangle can you leave a gap in the shape of the F as centrally located as possible?  What about each of the other shapes?

4)  Need some online practice with pentominoes?  Click here to try some online challenges!

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