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24 Sep 2018, 06:20
Kudos
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B
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
65%
(hard)
Question Stats:
59% (02:07) correct
41%
(02:03)
wrong
based on 246
sessions
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Not Attempted Yet
[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
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
24 Sep 2018, 08:55
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MathRevolution
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.
26 Sep 2018, 05:04
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=>
The region can be sketched in the xy-plane as shown below.
a.png [ 9.94 KiB | Viewed 4095 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
The region can be sketched in the xy-plane as shown below.
Attachment:
a.png [ 9.94 KiB | Viewed 4095 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
10 Oct 2024, 05:36
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