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29 Oct 2025, 11:06
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E
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
55%
(hard)
Question Stats:
55% (02:34) correct
45%
(02:40)
wrong
based on 22
sessions
History
Date
Time
Result
Not Attempted Yet
In the x-y plane, find the area (in sq. units) of the region enclosed by the graph of: \(\Bigl\lvert \frac{1}{4}(x+3) \Bigr\rvert + \Bigl\lvert \frac{1}{2}(y-5) \Bigr\rvert = 4\)
A) 128
B) 192
C) 384
D) 320
E) 256
A) 128
B) 192
C) 384
D) 320
E) 256
30 Oct 2025, 01:10
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Hi Shail1905,
When solving such questions on GMAT exam, it might take a lot of time to first understand what this equation might translate into and then working out the solution. I am sharing two quick and efficient formulas for such equations which you can use to quickly get to the answer in under 30 seconds.
1. \(|x - a| + |y - b| = r \Rightarrow \text{Area} = 2r^2\)
2. \(|px - a| + |qy - b| = r \Rightarrow \text{Area} = \frac{2r^2}{|pq|}\)
As given in the question mentioned, we can see the values of p and q are \(1/4\) and \(1/2\) and \(r = 4\). Putting these values in the formula, we get
\(\frac{2(4)^2}{\frac{1}{2} \times \frac{1}{4}}\) => \(2*16*8 = 256\) Option (E). You can see for yourself by applying it in different cases of such questions.
Here are some more questions similar to the one asked above:
Hope this helps!
When solving such questions on GMAT exam, it might take a lot of time to first understand what this equation might translate into and then working out the solution. I am sharing two quick and efficient formulas for such equations which you can use to quickly get to the answer in under 30 seconds.
1. \(|x - a| + |y - b| = r \Rightarrow \text{Area} = 2r^2\)
2. \(|px - a| + |qy - b| = r \Rightarrow \text{Area} = \frac{2r^2}{|pq|}\)
As given in the question mentioned, we can see the values of p and q are \(1/4\) and \(1/2\) and \(r = 4\). Putting these values in the formula, we get
\(\frac{2(4)^2}{\frac{1}{2} \times \frac{1}{4}}\) => \(2*16*8 = 256\) Option (E). You can see for yourself by applying it in different cases of such questions.
Here are some more questions similar to the one asked above:
- https://gmatclub.com/forum/in-the-x-y-plane-find-the-area-in-sq-units-of-the-region-enclosed-451343.html#p3661234
- https://gmatclub.com/forum/in-the-x-y-plane-find-the-area-in-sq-units-of-the-region-enclosed-451342.html#p3661233
- https://gmatclub.com/forum/in-the-x-y-plane-find-the-area-in-sq-units-of-the-region-enclosed-451335.html#p3660947
Hope this helps!
Shail1905
