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# In the figure above, the heavy broken line from P to R is composed of

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Joined: 02 Sep 2009
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In the figure above, the heavy broken line from P to R is composed of  [#permalink]

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12 Dec 2017, 09:21
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Difficulty:

15% (low)

Question Stats:

76% (00:54) correct 24% (01:23) wrong based on 77 sessions

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In the figure above, the heavy broken line from P to R is composed of line segments that are parallel either to OR or OP. If the length of OR is x and the length of OP is y, what is the total length of the heavy broken line from P to R?

(A) $$\sqrt{(x^2 + y^2)}$$

(B) $$x + y$$

(C) $$2(x + y)$$

(D) $$x^2 + y^2$$

(E) $$(x + y)^2$$

Attachment:

2017-12-12_1003.png [ 4.22 KiB | Viewed 868 times ]

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Re: In the figure above, the heavy broken line from P to R is composed of  [#permalink]

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12 Dec 2017, 12:53
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In the figure above, for the heavy broken line from P to R(which is composed of line segments that are parallel either to OR or OP),
length of the line segments is equal to the sum of the value of the lines segments OR and OP(x+y)

Therefore, the total length of the heavy broken line from P to R is x+y(Option B)
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Re: In the figure above, the heavy broken line from P to R is composed of  [#permalink]

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26 May 2018, 08:45
Hi Bunuel, pushpitkc,

Could you please help understand the logic that drives the solution? Why would the total length of the line be $$x+y$$?
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Re: In the figure above, the heavy broken line from P to R is composed of  [#permalink]

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26 May 2018, 08:57
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Shruti0805 wrote:
Hi Bunuel, pushpitkc,

Could you please help understand the logic that drives the solution? Why would the total length of the line be $$x+y$$?

Segments which are horizontal, so parallel to OR, do not overlap and add up to the length of OR itself (x).
Segments which are vertical, so parallel to OP, do not overlap and add up to the length of OP itself (y).

So, the total length is x + y.

Hope it's clear.
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Re: In the figure above, the heavy broken line from P to R is composed of  [#permalink]

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26 May 2018, 09:59
Bunuel wrote:

In the figure above, the heavy broken line from P to R is composed of line segments that are parallel either to OR or OP. If the length of OR is x and the length of OP is y, what is the total length of the heavy broken line from P to R?

(A) $$\sqrt{(x^2 + y^2)}$$

(B) $$x + y$$

(C) $$2(x + y)$$

(D) $$x^2 + y^2$$

(E) $$(x + y)^2$$

Ans: B
As it is given that p to r all segments are parallel to OR or OP so the length is going to be sum of both OR and OP.
so x+y is the ans.
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Re: In the figure above, the heavy broken line from P to R is composed of &nbs [#permalink] 26 May 2018, 09:59
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