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What is the area of rectangular region R?
(1) Each diagonal of R has length 5.
(2) The perimeter of R is 14.
  • 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
  • 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 are needed
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
What is the area of rectangular region R?(1) Each diagonal of R has le...
Statement (1) tells us that each diagonal of R has a length of 5. However, this information alone is not sufficient to determine the dimensions of R. There are multiple sets of dimensions that could have a diagonal length of 5, so we cannot determine the area based on this statement alone.
Statement (2) tells us that the perimeter of R is 14. The perimeter of a rectangle is given by the formula P = 2 * (length + width). In this case, we have the equation 14 = 2 * (length + width). However, this equation alone is not sufficient to determine the dimensions of R. We have one equation with two variables (length and width), so we need additional information to find the values of length and width individually.
When we consider both statements together, we still do not have enough information to determine the dimensions of R. Statement (1) gives us information about the diagonals, but it does not provide any information about the sides or angles of the rectangle. Statement (2) gives us information about the perimeter, but it does not provide information about the individual side lengths.
Therefore, both statements together are sufficient to answer the question, but neither statement alone is sufficient. The information provided in statements (1) and (2) is not enough to determine the area of rectangular region R.
Hence, the correct answer is (C) BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficient.
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What is the area of rectangular region R?(1) Each diagonal of R has length 5.(2) The perimeter of R is 14.a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question askedb)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question askedc)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficientd)EACH statement ALONE is sufficient to answer the question askede)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are neededCorrect answer is option 'C'. Can you explain this answer?
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What is the area of rectangular region R?(1) Each diagonal of R has length 5.(2) The perimeter of R is 14.a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question askedb)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question askedc)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficientd)EACH statement ALONE is sufficient to answer the question askede)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are neededCorrect 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 rectangular region R?(1) Each diagonal of R has length 5.(2) The perimeter of R is 14.a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question askedb)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question askedc)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficientd)EACH statement ALONE is sufficient to answer the question askede)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are neededCorrect 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 rectangular region R?(1) Each diagonal of R has length 5.(2) The perimeter of R is 14.a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question askedb)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question askedc)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficientd)EACH statement ALONE is sufficient to answer the question askede)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are neededCorrect answer is option 'C'. Can you explain this answer?.
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