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Zach.J.Dragone
- Junior | Next Rank: 30 Posts
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Can a certain rectangular sheet of glass be positioned on a rectangular tabletop so that it covers the entire tabletop and its edges are parallel to the edges of the tabletop?
(1) The tabletop is 36 inches wide by 60 inches long.
(2) The area of one side of the sheet of glass is 2,400 square inches.
D
Ok, I'm a bit confused here.
I see why (1) and (2) alone are insufficient...
However, the maximum area of the table is 2160 while the stated area of the glass is 2400. Even if we were to manipulate the glass perimeter, we could never get it to be 36*60.
The wording is a bit ambiguous when it talks about "parallel to the edges." For example I have seen proving it can be done took a 40*60 piece of glass and put it on a table. l However, the other example used to prove insufficiency was a piece of glass 1*2400. Though slightly hard to visualize, wouldn't the edges still be parallel to the table? Unless of course they are being really obtuse and assuming you could place it at an angle to the table...[/spoiler]
(1) The tabletop is 36 inches wide by 60 inches long.
(2) The area of one side of the sheet of glass is 2,400 square inches.
D
Ok, I'm a bit confused here.
I see why (1) and (2) alone are insufficient...
However, the maximum area of the table is 2160 while the stated area of the glass is 2400. Even if we were to manipulate the glass perimeter, we could never get it to be 36*60.
The wording is a bit ambiguous when it talks about "parallel to the edges." For example I have seen proving it can be done took a 40*60 piece of glass and put it on a table. l However, the other example used to prove insufficiency was a piece of glass 1*2400. Though slightly hard to visualize, wouldn't the edges still be parallel to the table? Unless of course they are being really obtuse and assuming you could place it at an angle to the table...[/spoiler]
