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The area of the region PQR is 15
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05 Dec 2019, 11:59
05 Dec 2019, 11:59
Expert Reply
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Question Stats:
76% (00:44) correct
23% (01:32) wrong based on 59 sessions
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Attachment:
#greprepclub The area of the region .jpg [ 11.77 KiB | Viewed 4146 times ]
The area of the region \(PQR\) is \(15\)
Quantity A |
Quantity B |
The area of the shaded region \(PRS\) |
\(9\) |
A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.
Kudos for the right answer and explanation
Re: The area of the region PQR is 15
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15 Jan 2020, 07:22
15 Jan 2020, 07:22
1
1
Carcass wrote:
Attachment:
#greprepclub The area of the region .jpg
The area of the region \(PQR\) is \(15\)
Quantity A |
Quantity B |
The area of the shaded region \(PRS\) |
\(9\) |
A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.
Kudos for the right answer and explanation
Here,
fig is right angled \(\triangle\) PQS
so,\( 10^2 = 6^2 + {QS}^2\)
or\( QS^2 = 64\)
or \(QS = 8\) ( length of \(\triangle\) cannot be negative)
Now, Area of the \(\triangle PQS \)
\(\frac{1}{2} * base * height\)
= \(\frac{1}{2} * 6 * 8 = 24\)
Therefore, Area of the shaded region PRS = \(24 - 15 = 9\)
I.e option C
Re: The area of the region PQR is 15
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16 Aug 2021, 18:39
16 Aug 2021, 18:39
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Thanks to another GRE Prep Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).
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