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GMAT Inequalities is a high-frequency topic in GMAT Quant, but many students struggle because the concepts behave differently from standard algebra. Understanding the right rules, patterns, and edge cases can significantly improve both speed and accuracy.- May 06
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09 Mar 2023, 09:45
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A
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Difficulty:
25%
(medium)
Question Stats:
77% (01:53) correct
23%
(01:55)
wrong
based on 56
sessions
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Not Attempted Yet
Note: Figure not drawn to scale
What is the area of triangle MNO in the figure above?
A. \(3\)
B. \(6\)
C. \(4 \sqrt{2} + 2 \sqrt{5} \)
D. \(2 \sqrt{10} \)
E. \(6 \sqrt{10}\)
Attachment:
2.jpg [ 15.75 KiB | Viewed 2969 times ]
01 Apr 2023, 13:45
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Bunuel
One way to solve this question would be to find the length of each side of the triangle and then find the area.
An alternative way is to imagine the triangle enclosed in a rectangle RPQN as shown below.
We can then subtract the area of \(\triangle POM\), \(\triangle RMN\), and \(\triangle OQN\) from the enclosed area of the rectangle RPQN.
Area of the rectangle = l * b = 4 * 3 = 12 sq. units
The total area of the triangles = 9 sq. units.
Area of \(\triangle MON\) = 12 - 9 = 3 sq. units
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Screenshot 2023-04-02 020330.jpg [ 95.06 KiB | Viewed 1580 times ]
