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# In the ﬁgure above, squares PQRV and VRST have sides of leng

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In the ﬁgure above, squares PQRV and VRST have sides of leng [#permalink]  30 Nov 2015, 01:42
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77% (00:34) correct 22% (00:37) wrong based on 145 sessions
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#GREpracticequestion squares PQRV and VRST.jpg [ 6.72 KiB | Viewed 4004 times ]

In the ﬁgure above, squares PQRV and VRST have sides of length 6.

 Quantity A Quantity B The area of the shadedregion 36

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.

Practice Questions
Question: 2
Page: 146
Difficulty: easy
[Reveal] Spoiler: OA

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Founder
Joined: 18 Apr 2015
Posts: 13341
Followers: 288

Kudos [?]: 3378 [0], given: 12174

Re: In the ﬁgure above, squares PQRV and VRST have sides of leng [#permalink]  30 Nov 2015, 02:28
Expert's post
Solution

From the stem, we do know that QP, QR and RS are each 6 in length. So, QS is 12. From this, we can calculate the area of the shaded region

$$Area=\frac{b*h}{2}$$ $$=\frac{12*6}{2}=36$$

The answer is $$C$$
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Founder
Joined: 18 Apr 2015
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Kudos [?]: 3378 [0], given: 12174

Squares PQRV and VRST have sides of length 6 [#permalink]  27 Dec 2016, 02:42
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#GREpracticequestion Squares PQRV and VRST.jpg [ 7.78 KiB | Viewed 3445 times ]

Squares PQRV and VRST have sides of length 6

 Quantity A Quantity B The area of the shaded region PQS 36

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.
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Re: PQRV [#permalink]  29 Dec 2016, 12:51
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Carcass wrote:

Squares PQRV and VRST have sides of length 6

 Quantity A Quantity B The area of the shaded region PQS 36

Let's add those lengths to the diagram:

If we focus on the shaded right triangle....

... we see its base has length 12 and its height is 6

Triangle area = (base)(height)/2 = (12)(6)/2 = 36

So, we have:
Quantity A: 36
Quantity B: 36

Answer: C
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Re: Squares PQRV and VRST [#permalink]  14 Jan 2020, 06:53
The shaded region is nothing but triangle PQR with
Base QS = QR + RS = 6 + 6 =12
and Height, PQ = 6
Area of Triangle = $$\frac{1}{2} * Base * Height$$
= $$\frac{1}{2} * 12* 6$$ = 6*6 = 36
So, Both Quantities are same
So, Answer will be C
Hope it helps!
sandy wrote:

In the figure above, squares PQRV and VRST have sides of length 6.

Quantity A: The area of the shaded region

Quantity B: 36

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.

[Reveal] Spoiler: Answer

[Reveal] Spoiler: Image
Attachment:
Quant1.jpg

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Re: Squares PQRV and VRST   [#permalink] 14 Jan 2020, 06:53
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# In the ﬁgure above, squares PQRV and VRST have sides of leng

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