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What is the area of rectangle ABCD?
- Length of each diagonal of rectangle ABCD = 13cm
- Perimeter of rectangle ABCD = 34cm
- 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? Length of each diagonal of rectang...
Solution:
We are given:
- The length of each diagonal of a rectangle ABCD is 13cm.
- The perimeter of rectangle ABCD is 34cm.
We need to find the area of rectangle ABCD.
Statement 1: The length of side AB is 5cm.
If we consider the diagonal AC of rectangle ABCD, we can form a right-angled triangle ABC with AB as one of the legs. We know that the length of diagonal AC is 13cm. Using the Pythagorean theorem, we can find the length of BC as follows:
AC² = AB² + BC²
13² = 5² + BC²
BC² = 13² - 5²
BC² = 144
BC = 12cm
Therefore, we can find the length of the other side AD as follows:
Perimeter of rectangle ABCD = 2 × (AB + AD)
34 = 2 × (5 + AD)
AD = 12cm
Now, we can find the area of rectangle ABCD as follows:
Area of rectangle ABCD = AB × AD
= 5 × 12
= 60cm²
Hence, statement 1 alone is sufficient to answer the question.
Statement 2: The area of rectangle ABCD is 48cm².
We cannot directly use statement 2 to find the length of the sides of rectangle ABCD. Hence, statement 2 alone is not sufficient to answer the question.
Combining both statements:
From statement 1, we know that the length of side AB is 5cm. From statement 2, we know that the area of rectangle ABCD is 48cm². Using these, we can find the length of the other side AD as follows:
Area of rectangle ABCD = AB × AD
48 = 5 × AD
AD = 9.6cm
Now, we can find the perimeter of rectangle ABCD as follows:
Perimeter of rectangle ABCD = 2 × (AB + AD)
= 2 × (5 + 9.6)
= 28.4cm
This contradicts the given perimeter of 34cm. Therefore, both statements together are not sufficient to answer the question.
Hence, the correct answer is option (C).
We are given:
- The length of each diagonal of a rectangle ABCD is 13cm.
- The perimeter of rectangle ABCD is 34cm.
We need to find the area of rectangle ABCD.
Statement 1: The length of side AB is 5cm.
If we consider the diagonal AC of rectangle ABCD, we can form a right-angled triangle ABC with AB as one of the legs. We know that the length of diagonal AC is 13cm. Using the Pythagorean theorem, we can find the length of BC as follows:
AC² = AB² + BC²
13² = 5² + BC²
BC² = 13² - 5²
BC² = 144
BC = 12cm
Therefore, we can find the length of the other side AD as follows:
Perimeter of rectangle ABCD = 2 × (AB + AD)
34 = 2 × (5 + AD)
AD = 12cm
Now, we can find the area of rectangle ABCD as follows:
Area of rectangle ABCD = AB × AD
= 5 × 12
= 60cm²
Hence, statement 1 alone is sufficient to answer the question.
Statement 2: The area of rectangle ABCD is 48cm².
We cannot directly use statement 2 to find the length of the sides of rectangle ABCD. Hence, statement 2 alone is not sufficient to answer the question.
Combining both statements:
From statement 1, we know that the length of side AB is 5cm. From statement 2, we know that the area of rectangle ABCD is 48cm². Using these, we can find the length of the other side AD as follows:
Area of rectangle ABCD = AB × AD
48 = 5 × AD
AD = 9.6cm
Now, we can find the perimeter of rectangle ABCD as follows:
Perimeter of rectangle ABCD = 2 × (AB + AD)
= 2 × (5 + 9.6)
= 28.4cm
This contradicts the given perimeter of 34cm. Therefore, both statements together are not sufficient to answer the question.
Hence, the correct answer is option (C).
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What is the area of rectangle ABCD? Length of each diagonal of rectang...
Correct option is 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.
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What is the area of rectangle ABCD? Length of each diagonal of rectangle ABCD = 13cm Perimeter of rectangle ABCD = 34cma)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? Length of each diagonal of rectangle ABCD = 13cm Perimeter of rectangle ABCD = 34cma)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? for GMAT 2024 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? Length of each diagonal of rectangle ABCD = 13cm Perimeter of rectangle ABCD = 34cma)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? covers all topics & solutions for GMAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for What is the area of rectangle ABCD? Length of each diagonal of rectangle ABCD = 13cm Perimeter of rectangle ABCD = 34cma)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?.
Solutions for What is the area of rectangle ABCD? Length of each diagonal of rectangle ABCD = 13cm Perimeter of rectangle ABCD = 34cma)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? in English & in Hindi are available as part of our courses for GMAT.
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ample number of questions to practice What is the area of rectangle ABCD? Length of each diagonal of rectangle ABCD = 13cm Perimeter of rectangle ABCD = 34cma)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? tests, examples and also practice GMAT tests.
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