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# The rectangular piece of paper represented in Figure I above is folded

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Math Expert
Joined: 02 Sep 2009
Posts: 54371
The rectangular piece of paper represented in Figure I above is folded  [#permalink]

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19 Aug 2017, 11:24
00:00

Difficulty:

15% (low)

Question Stats:

97% (01:30) correct 3% (01:19) wrong based on 53 sessions

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The rectangular piece of paper represented in Figure I above is folded on dotted line segment AC so that the folded paper is represented by Figure II. If the length of AB is 4 inches, what is the length of BC, in inches?

(A) 2
(B) 4
(C) 5
(D) 4√2
(E) 4√3

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2017-08-19_2106.png [ 8.71 KiB | Viewed 1002 times ]

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Re: The rectangular piece of paper represented in Figure I above is folded  [#permalink]

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19 Aug 2017, 11:48

The figure I is in the shape of a right triangle(with AB = 4).
When folded as in figure II,
it give us another right triangle(with the other side of the figure) which becomes 4.

Therefore, what we have is a square with side 4. Hence, BC = 4(Option B)
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Re: The rectangular piece of paper represented in Figure I above is folded  [#permalink]

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19 Aug 2017, 12:44
Logic: take a piece of paper in your hand and when you fold it from one corner you will see that it takes shape of square.
since square has all sides equal, side must be equal to 4.
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Re: The rectangular piece of paper represented in Figure I above is folded   [#permalink] 19 Aug 2017, 12:44
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