To determine which expressions describe the area of the shaded region, we need to analyze each expression to see if they represent the area of some geometric shape, likely as fractions of a whole.
Assuming the shaded region's area can be calculated by multiplying two fractions that represent dimensions (like width and height), let's evaluate each option based on that understanding:
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\( \frac{3}{12} \times \frac{3}{6} \): This could represent \( \frac{1}{4} \times \frac{1}{2} \), so this expression describes some area and is valid.
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\( \frac{3}{10} \times \frac{1}{2} \): This expression appears valid as it multiplies two fractions which could represent an area.
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\( \frac{1}{4} \times \frac{1}{2} \): This is a straightforward multiplication of two fractions and describes an area, likely representing \( \frac{1}{8} \).
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\( \frac{1}{4} \times \frac{1}{3} \): Similar to the previous, this represents another area (equal to \( \frac{1}{12} \)).
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\( 412 \times \frac{3}{6} \): The term "412" is not a fraction and might represent a value for a specific dimension (like a side length), but given the context of the question regarding fractions, this might not fit well.
Only the first four expressions can be confidently indicated as valid areas of shaded regions based on typical area calculation principles.
So, the expressions that apply are:
- \( \frac{3}{12} \times \frac{3}{6} \)
- \( \frac{3}{10} \times \frac{1}{2} \)
- \( \frac{1}{4} \times \frac{1}{2} \)
- \( \frac{1}{4} \times \frac{1}{3} \)
If you have specific dimensions or shapes in mind, please provide more context for an even more accurate assessment!
2 answers