To solve the problem, we first need to understand the dimensions of the photo and the picture frame in context.
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Given that the area of the photo is 16 square inches, we can deduce the dimensions of the photo. If it's a square photo, each side would be: \[ \text{Side length} = \sqrt{16} = 4 \text{ inches} \]
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The square photo does not provide information about the overall dimensions of the frame. However, we need to interpret the given options.
Assuming that the picture frame creates a border around the photo, let's hypothesize two potential frame arrangements around the 4-inch photo.
Let’s analyze each option.
A. Side WX would be parallel to Side WZ, and Side WX would measure 6 inches.
- If WX is a side of the frame, and it measures 6 inches, it doesn't correlate well with the area of the photo. Therefore, this option can be dismissed.
B. Side WX would be parallel to Side ZY, and Side ZY would measure 12 inches.
- This does not serve as a logical conclusion based on the dimensions we have.
C. Side WZ would be parallel to Side XY, and Side WZ would measure 8 inches.
- This is a reasonable conclusion as if WZ represents the border area of the frame encompassing the photo, it might be symmetrical.
D. Side WZ would be perpendicular to Side XY, and Side XY would measure 10 inches.
- If WZ is perpendicular to XY, this might imply some arrangement of a wider frame, in contradiction of our current known dimensions.
Conclusively, C seems the most plausible, assuming typical arrangements. In summary, without definitive frame dimensions, and given the hypothesis, C stands as potentially correct—assuming standard behavior upon rotation.
Hence, the correct answer is Option C.