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# The area of rectangular region ​ ABCD

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The area of rectangular region ​ ABCD [#permalink]  23 Jan 2017, 08:34
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00:00

Question Stats:

96% (00:30) correct 3% (00:57) wrong based on 62 sessions

Attachment:

GRE - powerprep The area of rectangular region ​ ABCD.jpg [ 7.64 KiB | Viewed 5776 times ]

 Quantity A Quantity B The area of rectangular region ​ ABCD The area of trapezoidal region ​ EFGH

A) Quantity A is greater.
B) Quandetermined fromr.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
[Reveal] Spoiler: OA

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Re: The area of rectangular region ​ ABCD [#permalink]  24 Jan 2017, 19:56
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Explanation

Find the area of rectangle ABCD:

Area = l × w
or Area = 8 × 3 → Area = 24

Find the area of trapezoid EFGH:

Area = $$\frac{(b1+b2)}{2} \times (h)$$
or Area = $$\frac{(5+7)}{2} \times 4$$= $$6 \times 4$$=

Compare the quantities:

Quantity A: 24
Quantity B: 24

Hence option C is correct.
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Re: The area of rectangular region ​ ABCD [#permalink]  13 Feb 2019, 13:40
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Here's a related video (on Quadrilaterals) from my course:

Cheers,
Brent
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Brent Hanneson – Creator of greenlighttestprep.com

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Re: The area of rectangular region ​ ABCD [#permalink]  27 Mar 2019, 16:21
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Attached is a visual that should help.

Source: Vince and Brian's GRE PowerPrep Explanations

Best of luck on your GRE and beyond,

-Brian
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Re: The area of rectangular region ​ ABCD   [#permalink] 27 Mar 2019, 16:21
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