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A square with sides 1 inch long is divided into 2-by-2-inch rectangles. What is the area of each 2-by-2-inch rectangle?

A) 1 square inch
B) 2 square inches
C) 3 square inches
D) 4 square inches

1 Answer

7 votes

Final answer:

The area of each 2-by-2-inch rectangle would be 4 square inches, though the initial description of a square with 1-inch sides cannot be divided into 2-by-2-inch rectangles.

Step-by-step explanation:

The question seems to have a mistake because a square with sides of 1 inch cannot be divided into 2-by-2-inch rectangles. However, if we consider a square that can indeed be divided into 2-by-2-inch rectangles, the area calculation is straightforward. The area of a rectangle is found by multiplying the length of one side by the length of the adjacent side. Therefore, for a 2-by-2-inch rectangle:

  • Area = side × adjacent side
  • Area = 2 inches × 2 inches
  • Area = 4 square inches

This means the area of each 2-by-2-inch rectangle is 4 square inches (option D).

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