Fit pieces together

Rotate pieces and check whether they can fill an outline without gaps or overlap.

Keep every piece intact

12
Move or turn each whole piece.

Each piece is made of connected squares. You may move and turn a piece, but not flip it, cut it or put it on top of another. Use every piece once. The outline must have the same number of squares as the pieces together.

Lesson help

Equal area is necessary, but not enough. Place one piece and check the shape of the space left.

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Keep every piece intact

Each piece is made of connected squares. You may move and turn a piece, but not flip it, cut it or put it on top of another. Use every piece once. The outline must have the same number of squares as the pieces together.

12
Move or turn each whole piece.

Fill a rectangle

These two L-shaped pieces each have three squares. Turn and move them to fill a rectangle with two rows of three. The numbers show where each piece goes. All six squares are covered once.

12
Move or turn each whole piece.
12
Both pieces fit with no gaps.

Try two new outlines

Use the two pieces shown. Both outlines have six squares, so counting alone cannot choose the answer. Imagine fitting one whole piece, then check whether the space left fits the other.

12
Use both pieces once.
Outline A
Outline B

Try it

Which outline can these two pieces fill?

  1. Outline A.
  2. Outline B.
Show the answer

Outline B.

B fits both pieces without overlap or gaps. A has the same area, but the arrangement of its squares prevents these two pieces from fitting.

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