In the xy-coordinate plane, polygon APBCDA is formed by placing rectangle ABCD and triangle APB as shown above. If sides AB and AD are parallel to the x- and the y- axes respectively, what is the area of polygon APBCDA?(1) The coordinates of points A and C are (6, 8) and (12, 12) respectively(2) The coordinates of point P are (8, 10)a)Statement (1) ALONE is sufficient, but statement (2) alone isnot sufficient to answer the question asked.b)Statement (2) ALONE is sufficient, but statement (1) alone isnot sufficient to answer the question asked.c)BOTH statements (1) and (2) TOGETHER are sufficient toanswer the question asked, but NEITHER statement ALONEis sufficient to answer the question asked.d)EACH statement ALONE is sufficient to answer the questionasked.e)Statements (1) and (2) TOGETHER are NOT sufficient toanswer the question asked, and additional data specific to theproblem are needed.Correct answer is option 'C'. Can you explain this answer?

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(1) The coordinates of points A and C are (6, 8) and (12, 12) respectively
(2) The coordinates of point P are (8, 10)

a)
Statement (1) ALONE is sufficient, but statement (2) alone is
not sufficient to answer the question asked.
b)
Statement (2) ALONE is sufficient, but statement (1) alone is
not sufficient to answer the question asked.
c)
BOTH statements (1) and (2) TOGETHER are sufficient to
answer the question asked, but NEITHER statement ALONE
is sufficient to answer the question asked.
d)
EACH statement ALONE is sufficient to answer the question
asked.
e)
Statements (1) and (2) TOGETHER are NOT sufficient to
answer the question asked, and additional data specific to the
problem are needed.

Correct answer is option 'C'. Can you explain this answer?

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Test: Rectangles And Squares- 2

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In the xy-coordinate plane, polygon APBCDA is formed by placing rectan...

Step 1 & 2: Understand Question and Draw Inference

Given: Rectangle ABCD and triangle APB in the xy-plane

Since AB is parallel to the x-axis,
- Points A and B will have the same y-coordinates
- Since side CD of the rectangle will be parallel to side AB, points C and D too will have the same y-coordinates
Since AD is parallel to the y-axis,
- Points A and D will have the same x-coordinates
- Since side BC of the rectangle will be parallel to side AD, points B and C too will have the same x-coordinates

To find: Area of polygon APBCDA

= (Area of Rectangle ABCD) – (Area of triangle APB)
Thus, in order to answer the question, we need to know the area of both Rectangle ABCD and triangle APB

Step 3 : Analyze Statement 1 independent

Statement 1 says that ‘The coordinates of points A and C are (6, 8) and (12, 12) respectively’

As discussed before, since AB and CD are parallel to the x-axis,
- (y-coordinate of point B) = (y-coordinate of point A) = 8
- (y-coordinate of point D) = (y-coordinate of point C) = 12
Since AD and BC are parallel to the y-axis,
- (x-coordinate of point B) = (x-coordinate of point C) = 12
- (x-coordinate of point D) = (x-coordinate of point A) = 6

Therefore, AB = 12 – 6 = 6 units
And BC = 12 – 8 = 4 units
So, area of rectangle ABCD = 6*4 = 24 square units
However, since Statement 1 doesn’t tell us about the area of triangle APB, it is not sufficient to answer the question.

Step 4 : Analyze Statement 2 independent

Statement 2 says that ‘The coordinates of point P are (8, 10)’

From this statement, we can find neither the area of triangle APB nor the area of rectangle ABCD
So, this Statement is clearly insufficient.

Step 5: Analyze Both Statements Together (if needed)

From Statement 1, we inferred that area of rectangle ABCD = 24 square units. We also came to know the coordinates of each of the points A, B, C and D
From Statement 2, point P is (8, 10)
Combining the 2 statements,
- The combined figure that we get is:

Dropping a perpendicular PQ from point P on side AB, we get:

Since we know the coordinates of points A, P and B, we can find the lengths of sides AQ, PQ and BQ, as shown in the figure above
Thus, by combining the 2 statements, we will be able to find the area of triangle APB
Since we now know the area of both rectangle ABCD and the area of triangle APB, we can find the area of polygon APBCDA

So, the 2 statements together are sufficient to answer the question Answer: Option C

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In the xy-coordinate plane, polygon APBCDA is formed by placing rectangle ABCD and triangle APB as shown above. If sides AB and AD are parallel to the x- and the y- axes respectively, what is the area of polygon APBCDA?(1) The coordinates of points A and C are (6, 8) and (12, 12) respectively(2) The coordinates of point P are (8, 10)a)Statement (1) ALONE is sufficient, but statement (2) alone isnot sufficient to answer the question asked.b)Statement (2) ALONE is sufficient, but statement (1) alone isnot sufficient to answer the question asked.c)BOTH statements (1) and (2) TOGETHER are sufficient toanswer the question asked, but NEITHER statement ALONEis sufficient to answer the question asked.d)EACH statement ALONE is sufficient to answer the questionasked.e)Statements (1) and (2) TOGETHER are NOT sufficient toanswer the question asked, and additional data specific to theproblem are needed.Correct answer is option 'C'. Can you explain this answer?

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In the xy-coordinate plane, polygon APBCDA is formed by placing rectangle ABCD and triangle APB as shown above. If sides AB and AD are parallel to the x- and the y- axes respectively, what is the area of polygon APBCDA?(1) The coordinates of points A and C are (6, 8) and (12, 12) respectively(2) The coordinates of point P are (8, 10)a)Statement (1) ALONE is sufficient, but statement (2) alone isnot sufficient to answer the question asked.b)Statement (2) ALONE is sufficient, but statement (1) alone isnot sufficient to answer the question asked.c)BOTH statements (1) and (2) TOGETHER are sufficient toanswer the question asked, but NEITHER statement ALONEis sufficient to answer the question asked.d)EACH statement ALONE is sufficient to answer the questionasked.e)Statements (1) and (2) TOGETHER are NOT sufficient toanswer the question asked, and additional data specific to theproblem are needed.Correct answer is option 'C'. Can you explain this answer? for GMAT 2024 is part of GMAT preparation. The Question and answers have been prepared according to the GMAT exam syllabus. Information about In the xy-coordinate plane, polygon APBCDA is formed by placing rectangle ABCD and triangle APB as shown above. If sides AB and AD are parallel to the x- and the y- axes respectively, what is the area of polygon APBCDA?(1) The coordinates of points A and C are (6, 8) and (12, 12) respectively(2) The coordinates of point P are (8, 10)a)Statement (1) ALONE is sufficient, but statement (2) alone isnot sufficient to answer the question asked.b)Statement (2) ALONE is sufficient, but statement (1) alone isnot sufficient to answer the question asked.c)BOTH statements (1) and (2) TOGETHER are sufficient toanswer the question asked, but NEITHER statement ALONEis sufficient to answer the question asked.d)EACH statement ALONE is sufficient to answer the questionasked.e)Statements (1) and (2) TOGETHER are NOT sufficient toanswer the question asked, and additional data specific to theproblem are needed.Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for GMAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In the xy-coordinate plane, polygon APBCDA is formed by placing rectangle ABCD and triangle APB as shown above. If sides AB and AD are parallel to the x- and the y- axes respectively, what is the area of polygon APBCDA?(1) The coordinates of points A and C are (6, 8) and (12, 12) respectively(2) The coordinates of point P are (8, 10)a)Statement (1) ALONE is sufficient, but statement (2) alone isnot sufficient to answer the question asked.b)Statement (2) ALONE is sufficient, but statement (1) alone isnot sufficient to answer the question asked.c)BOTH statements (1) and (2) TOGETHER are sufficient toanswer the question asked, but NEITHER statement ALONEis sufficient to answer the question asked.d)EACH statement ALONE is sufficient to answer the questionasked.e)Statements (1) and (2) TOGETHER are NOT sufficient toanswer the question asked, and additional data specific to theproblem are needed.Correct answer is option 'C'. Can you explain this answer?.

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If sides AB and AD are parallel to the x- and the y- axes respectively, what is the area of polygon APBCDA?(1) The coordinates of points A and C are (6, 8) and (12, 12) respectively(2) The coordinates of point P are (8, 10)a)Statement (1) ALONE is sufficient, but statement (2) alone isnot sufficient to answer the question asked.b)Statement (2) ALONE is sufficient, but statement (1) alone isnot sufficient to answer the question asked.c)BOTH statements (1) and (2) TOGETHER are sufficient toanswer the question asked, but NEITHER statement ALONEis sufficient to answer the question asked.d)EACH statement ALONE is sufficient to answer the questionasked.e)Statements (1) and (2) TOGETHER are NOT sufficient toanswer the question asked, and additional data specific to theproblem are needed.Correct answer is option 'C'. Can you explain this answer? has been provided alongside types of In the xy-coordinate plane, polygon APBCDA is formed by placing rectangle ABCD and triangle APB as shown above. If sides AB and AD are parallel to the x- and the y- axes respectively, what is the area of polygon APBCDA?(1) The coordinates of points A and C are (6, 8) and (12, 12) respectively(2) The coordinates of point P are (8, 10)a)Statement (1) ALONE is sufficient, but statement (2) alone isnot sufficient to answer the question asked.b)Statement (2) ALONE is sufficient, but statement (1) alone isnot sufficient to answer the question asked.c)BOTH statements (1) and (2) TOGETHER are sufficient toanswer the question asked, but NEITHER statement ALONEis sufficient to answer the question asked.d)EACH statement ALONE is sufficient to answer the questionasked.e)Statements (1) and (2) TOGETHER are NOT sufficient toanswer the question asked, and additional data specific to theproblem are needed.Correct answer is option 'C'. 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If sides AB and AD are parallel to the x- and the y- axes respectively, what is the area of polygon APBCDA?(1) The coordinates of points A and C are (6, 8) and (12, 12) respectively(2) The coordinates of point P are (8, 10)a)Statement (1) ALONE is sufficient, but statement (2) alone isnot sufficient to answer the question asked.b)Statement (2) ALONE is sufficient, but statement (1) alone isnot sufficient to answer the question asked.c)BOTH statements (1) and (2) TOGETHER are sufficient toanswer the question asked, but NEITHER statement ALONEis sufficient to answer the question asked.d)EACH statement ALONE is sufficient to answer the questionasked.e)Statements (1) and (2) TOGETHER are NOT sufficient toanswer the question asked, and additional data specific to theproblem are needed.Correct answer is option 'C'. Can you explain this answer? tests, examples and also practice GMAT tests.

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