Alicia drew these same-size game boards. She said that 12 of each game board is shaded.

Question

Alicia drew these same-size game boards. She said that 12 of each game board is shaded.

Two rectangles are shown. The first is divided into two equal rectangles that are side-by-side. The second is divided into two equal rectangles, one on top of the other.

Is Alicia correct or incorrect? Explain your answer.

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Answer 1

Alicia is incorrect because the first rectangle can be divided into 4 equal rectangles (2 side-by-side and 2 on top of each other). Therefore, only 6 of each game board are shaded.