Bunuel
A wooden frame 1 foot wide has been constructed around each of two rectangular sheets of glass measuring 4 feet by 5 feet. If the area of overlapping glass in the figure above measures 1 foot by 2 feet, what fraction of the total area of the glass sheets and wooden frames is overlapping?
A. 1/21
B. 1/10
C. 6/21
D. 1/2
E. 5/8
The question, as it's worded, could be interpreted in several ways (for example, are we finding what fraction of the total area of the diagram is overlap, which is 1/6, or do we want to find the fraction of the total area of the two sheets that the overlap represents, which is 1/7?), but no matter how you interpret it, you won't get any of the answer choices. I had to look the question up online because it didn't make sense. The question means to ask this: "the overlap, including the frame, is what fraction of the area of one sheet, including the frame?" Then because the overlap has area 12, and one sheet has area 42, the answer is 12/42 = 6/21. But the question isn't worded properly.