What is the area of rectangle ABCD?(1) The length of side AB is 2 units more than the length of side BC.(2) The length of the diagonal AC is 10 units.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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GMAT Exam > GMAT Questions > What is the area of rectangle ABCD?(1) The le...

What is the area of rectangle ABCD?
(1) The length of side AB is 2 units more than the length of side BC.
(2) The length of the diagonal AC is 10 units.

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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What is the area of rectangle ABCD?(1) The length of side AB is 2 unit...

Step 1 & 2: Understand Question and Draw Inference

Given: Rectangle ABCD

To Find: Area of rectangle ABCD

= AB*BC

Step 3 : Analyze Statement 1 independent

Statement 1 says that ‘The length of side AB is 2 units more than the length of
side BC'
So, AB = BC + 2

So, Area of rectangle ABCD = BC*(BC+2)
However, since we do not know the measure of side BC, we cannot find the area of rectangle ABCD yet

Statement 1 alone is not sufficient to answer the question

Step 4 : Analyze Statement 2 independent

Statement 2 says that 'The length of the diagaonal AC is 10 units'
So, AC = 10

AB² + BC² = 100
This is one quadratic equation with 2 unknowns. Multiple values of AB and BC will satisfy this equation.
Therefore, Statement 2 doesn’t lead us to unique values of AB and BC, and hence of the product AB*BC
So, Statement 2 alone is not sufficient

Step 5: Analyze Both Statements Together (if needed)

From Statement 1, AB = BC + 2
From Statement 2, AB + BC = 100
Combining the 2 statements:

The negative root is rejected because, being a side of a rectangle, the measure of BC cannot be negative
So, BC = 6
Therefore, AB = 6 + 2 = 8
Since we now know the measure of AB and BC, we can find the measure of product AB*BC

So, the 2 statements together are sufficient to answer the question

Answer: Option C

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What is the area of rectangle ABCD?(1) The length of side AB is 2 unit...

Statement (1):
The length of side AB is 2 units more than the length of side BC.

This statement provides information about the relationship between the lengths of sides AB and BC, but it does not provide any information about the lengths themselves or any other dimensions of the rectangle. Therefore, this statement alone is not sufficient to determine the area of rectangle ABCD.

Statement (2):
The length of the diagonal AC is 10 units.

This statement provides information about the length of the diagonal AC, but it does not provide any information about the lengths of the sides or any other dimensions of the rectangle. Therefore, this statement alone is not sufficient to determine the area of rectangle ABCD.

Statements (1) and (2) together:
By combining both statements, we can gather additional information.

From statement (1), we know that AB = BC + 2.

From statement (2), we know that AC = 10.

Since ABCD is a rectangle, we can use the Pythagorean theorem to relate the lengths of the sides and the diagonal:

AC^2 = AB^2 + BC^2

Substituting the values we have:

10^2 = (BC + 2)^2 + BC^2

100 = BC^2 + 4BC + 4 + BC^2

2BC^2 + 4BC - 96 = 0

BC^2 + 2BC - 48 = 0

(BC + 8)(BC - 6) = 0

BC = -8 or BC = 6

Since the length of a side cannot be negative, we discard BC = -8.

Therefore, BC = 6. Using statement (1), we can calculate AB = 6 + 2 = 8.

The area of rectangle ABCD is AB * BC = 8 * 6 = 48.

Therefore, together, statements (1) and (2) are sufficient to determine the area of rectangle ABCD.

Hence, the correct answer is option C.

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What is the area of rectangle ABCD?(1) The length of side AB is 2 units more than the length of side BC.(2) The length of the diagonal AC is 10 units.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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What is the area of rectangle ABCD?(1) The length of side AB is 2 units more than the length of side BC.(2) The length of the diagonal AC is 10 units.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 2025 is part of GMAT preparation. The Question and answers have been prepared according to the GMAT exam syllabus. Information about What is the area of rectangle ABCD?(1) The length of side AB is 2 units more than the length of side BC.(2) The length of the diagonal AC is 10 units.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 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for What is the area of rectangle ABCD?(1) The length of side AB is 2 units more than the length of side BC.(2) The length of the diagonal AC is 10 units.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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