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The side of a square is 4 cm. It is cut into 4 equal squares. What is the area of each small square ?

  • A.4 \(cm^{2}\)
  • B.1 \(cm^{2}\)
  • C.16 \(cm^{2}\)
  • D.8 \(cm^{2}\)

Answer: A

Each small square has an area of 4 \(cm^{2}\).

The big square has area \(4 \times 4 = 16\ cm^{2}\). Cutting it into 4 equal squares divides the area equally:

\[ \frac{16\ cm^{2}}{4} = 4\ cm^{2} \]

Each small square has side 2 cm. The option 16 \(cm^{2}\) is the whole square, 1 \(cm^{2}\) treats each small side as 1 cm, and 8 \(cm^{2}\) halves the area instead of quartering it.

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