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A rectangle has length in Y feet and width Z feet. What is its area in square feet?

(1) Z is the reciprocal of Y
(2) The fence around the perimeter of the rectangle is 720 feet
  • 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 'A'. Can you explain this answer?
Most Upvoted Answer
A rectangle has length in Y feet and width Z feet. What is its area in...
Statement (1): Z is the reciprocal of Y.
This statement tells us that Z is the reciprocal of Y. If Z is the reciprocal of Y, it means that Z equals 1/Y. The area of a rectangle is calculated by multiplying its length by its width, so the area would be Y * Z = Y * (1/Y) = 1 square foot. Therefore, statement (1) alone is sufficient to determine the area of the rectangle, which is 1 square foot.
Statement (2): The fence around the perimeter of the rectangle is 720 feet.
This statement tells us that the perimeter of the rectangle is 720 feet. The perimeter of a rectangle is calculated by adding all the sides together. However, the perimeter alone does not provide enough information to determine the individual side lengths or the area of the rectangle. For example, a rectangle with sides measuring 100 feet and 260 feet would have a perimeter of 720 feet, but its area would be different from a rectangle with sides measuring 200 feet and 160 feet, which also has a perimeter of 720 feet. Therefore, statement (2) alone is not sufficient to determine the area of the rectangle.
Combining both statements:
By combining both statements, we know that Z is the reciprocal of Y (from statement 1) and the perimeter of the rectangle is 720 feet (from statement 2). However, even with this information, we cannot determine the specific values of Y and Z or the dimensions of the rectangle. Different combinations of Y and Z can satisfy both statements while resulting in different areas for the rectangle. Therefore, even when both statements are considered together, we still cannot determine the area of the rectangle.
Hence, statement (1) alone is sufficient to answer the question, while statement (2) alone is not sufficient. The correct answer is A: Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked.
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A rectangle has length in Y feet and width Z feet. What is its area in square feet?(1) Z is the reciprocal of Y(2) The fence around the perimeter of the rectangle is 720 feeta)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 'A'. Can you explain this answer?
Question Description
A rectangle has length in Y feet and width Z feet. What is its area in square feet?(1) Z is the reciprocal of Y(2) The fence around the perimeter of the rectangle is 720 feeta)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 'A'. 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 A rectangle has length in Y feet and width Z feet. What is its area in square feet?(1) Z is the reciprocal of Y(2) The fence around the perimeter of the rectangle is 720 feeta)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 'A'. Can you explain this answer? covers all topics & solutions for GMAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A rectangle has length in Y feet and width Z feet. What is its area in square feet?(1) Z is the reciprocal of Y(2) The fence around the perimeter of the rectangle is 720 feeta)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 'A'. Can you explain this answer?.
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