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# In the coordinate plane, what is the area of the region enclosed by x≥

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Math Revolution GMAT Instructor
Joined: 16 Aug 2015
Posts: 8005
GMAT 1: 760 Q51 V42
GPA: 3.82
In the coordinate plane, what is the area of the region enclosed by x≥  [#permalink]

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24 Sep 2018, 06:20
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Difficulty:

55% (hard)

Question Stats:

55% (02:03) correct 45% (02:17) wrong based on 35 sessions

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[Math Revolution GMAT math practice question]

In the coordinate plane, what is the area of the region enclosed by x ≥ 1, y ≥ 2 and x + y ≤ 5?

A. 1
B. 2
C. 3
D. 4
E. 5

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"Only $79 for 1 month Online Course" "Free Resources-30 day online access & Diagnostic Test" "Unlimited Access to over 120 free video lessons - try it yourself" GMATH Teacher Status: GMATH founder Joined: 12 Oct 2010 Posts: 935 In the coordinate plane, what is the area of the region enclosed by x≥ [#permalink] ### Show Tags 24 Sep 2018, 08:55 MathRevolution wrote: [Math Revolution GMAT math practice question] In the coordinate plane, what is the area of the region enclosed by x ≥ 1, y ≥ 2 and x + y ≤ 5? A. 1 B. 2 C. 3 D. 4 E. 5 Please follow the image below, in which we show that the focused-region is a right isosceles triangle. $$? = {S_\Delta } = \frac{{2 \cdot 2}}{2} = 2$$ The right answer is therefore (B). This solution follows the notations and rationale taught in the GMATH method. Regards, Fabio. _________________ Fabio Skilnik :: GMATH method creator (Math for the GMAT) Our high-level "quant" preparation starts here: https://gmath.net Math Revolution GMAT Instructor Joined: 16 Aug 2015 Posts: 8005 GMAT 1: 760 Q51 V42 GPA: 3.82 Re: In the coordinate plane, what is the area of the region enclosed by x≥ [#permalink] ### Show Tags 26 Sep 2018, 05:04 => The region can be sketched in the xy-plane as shown below. Attachment: a.png [ 9.94 KiB | Viewed 345 times ] The area of the shaded triangle above is $$(\frac{1}{2})(3-1)(4-2) = (\frac{1}{2})*2*2 = 2$$ Therefore, B is the answer. Answer: B _________________ MathRevolution: Finish GMAT Quant Section with 10 minutes to spare The one-and-only World’s First Variable Approach for DS and IVY Approach for PS with ease, speed and accuracy. "Only$79 for 1 month Online Course"
"Free Resources-30 day online access & Diagnostic Test"
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Re: In the coordinate plane, what is the area of the region enclosed by x≥   [#permalink] 26 Sep 2018, 05:04
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