Using all three of the pentominoes above, they can be assembled into one of the shapes below (rotations and reflections are allowed). Which one?
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The "V" shape can only be placed as shown above. In any other possible position on any of the three diagrams, a portion of the shape will be cut off with an area not divisible by 5; that is, there would be no way to fit a pentomino. Here's an example of an impossible position for the V: