The large square above has sides of length 1. It is divided into smaller squares by dividing each side into 10 equal parts. In the figure, 3 full rows and 4 smaller squares in the next row are shaded. What is the area of the shaded region?

Rationale

The area of the shaded region is 0.34.

The area of the shaded region can be calculated by multiplying the number of shaded squares by the area of each small square. Since the large square is divided into 10 equal parts on each side, each small square has side length 1/10, and therefore an area of (1/10)^2 = 0.01. There are 34 shaded squares (30 from the full rows and 4 additional ones), so the total shaded area is 34 * 0.01 = 0.34.

A (0.34) CORRECT

This is the correct answer. The area of each small square is 0.01, and there are 34 shaded squares, so the total shaded area is 34 * 0.01 = 0.34.

B (0.37) YOUR ANSWER

This is not the correct answer. This would suggest there are 37 shaded squares, but there are only 34 shaded squares in the figure.

C (0.43) YOUR ANSWER

This is not the correct answer. This would suggest there are 43 shaded squares, but there are only 34 shaded squares in the figure.

D (0.7) YOUR ANSWER

This is not the correct answer. This value would suggest there are 70 shaded squares, which far exceeds the number of shaded squares in the figure, which is 34.

Conclusion

The shaded region's area can be calculated by multiplying the area of each small square (0.01) by the number of shaded squares (34), yielding a total shaded area of 0.34. The other options incorrectly suggest a higher number of shaded squares than what is present in the figure. Consequently, the correct answer is 0.34, corresponding to the 34 shaded squares in the figure.

The large square above has sides of length 1. It is divided into smaller squares by dividing each side into 10 equal parts. In the figure, 3 full rows and 4 smaller squares in the next row are shaded. What is the area of the shaded region?

The area of the shaded region is 0.34.

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