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The area of a triangle is equal to the area of the rectangle. Find the perimeter of the rectangle.
1. The perimeter of the square is 24 inches.
2. The sum of the length and the width is 13 inches.
1. The perimeter of the square is 24 inches.
2. The sum of the length and the width is 13 inches.
- 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.
- 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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Verified Answer
The area of a triangle is equal to the area of the rectangle. Find the...
Explanation:
Let the sides of the square be s, and the length and width of the rectangle be l and w, respectively. We need to find the perimeter of the rectangle, which is 2(l+w).
Statement 1: The perimeter of the square is 24 inches.
This means that s=6 inches. Since the area of the triangle is equal to the area of the rectangle, we have (1/2)(s^2) = lw. So, (1/2)(6^2) = lw, which means lw=18. However, we cannot determine l and w from this statement alone, so it is not sufficient.
Statement 2: The sum of the length and the width is 13 inches.
This means that l+w=13. We cannot determine the area or the perimeter of the rectangle from this statement alone, so it is not sufficient.
Using both statements together, we know that lw=18 and l+w=13. We can solve for l and w using these equations: l=9 and w=4 (or vice versa). Now we can find the perimeter of the rectangle: 2(9+4) = 26 inches. Both statements together are sufficient to answer the question.
Let the sides of the square be s, and the length and width of the rectangle be l and w, respectively. We need to find the perimeter of the rectangle, which is 2(l+w).
Statement 1: The perimeter of the square is 24 inches.
This means that s=6 inches. Since the area of the triangle is equal to the area of the rectangle, we have (1/2)(s^2) = lw. So, (1/2)(6^2) = lw, which means lw=18. However, we cannot determine l and w from this statement alone, so it is not sufficient.
Statement 2: The sum of the length and the width is 13 inches.
This means that l+w=13. We cannot determine the area or the perimeter of the rectangle from this statement alone, so it is not sufficient.
Using both statements together, we know that lw=18 and l+w=13. We can solve for l and w using these equations: l=9 and w=4 (or vice versa). Now we can find the perimeter of the rectangle: 2(9+4) = 26 inches. Both statements together are sufficient to answer the question.
Most Upvoted Answer
The area of a triangle is equal to the area of the rectangle. Find the...
Question Analysis
The question asks us to find the perimeter of a rectangle whose area is equal to that of a triangle. We are given two statements, and we need to determine if they are sufficient to answer the question.
Statement Analysis
Statement 1: The perimeter of the square is 24 inches.
This statement does not provide any information about the rectangle or the triangle. It is not sufficient to answer the question.
Statement 2: The sum of the length and the width is 13 inches.
This statement provides some information about the rectangle, but it does not provide any information about the triangle. It is not sufficient to answer the question.
Statements 1 and 2: Together, the statements do not provide enough information to answer the question. We know the perimeter of the square in statement 1, but we do not know how it relates to the rectangle or the triangle. We know the sum of the length and width of the rectangle in statement 2, but we do not know the individual values of length and width or how they relate to the triangle. Therefore, the correct answer is option C.
Conclusion
Neither statement alone is sufficient to answer the question, and the statements together are not sufficient to answer the question. Additional information is needed to find the perimeter of the rectangle.
The question asks us to find the perimeter of a rectangle whose area is equal to that of a triangle. We are given two statements, and we need to determine if they are sufficient to answer the question.
Statement Analysis
Statement 1: The perimeter of the square is 24 inches.
This statement does not provide any information about the rectangle or the triangle. It is not sufficient to answer the question.
Statement 2: The sum of the length and the width is 13 inches.
This statement provides some information about the rectangle, but it does not provide any information about the triangle. It is not sufficient to answer the question.
Statements 1 and 2: Together, the statements do not provide enough information to answer the question. We know the perimeter of the square in statement 1, but we do not know how it relates to the rectangle or the triangle. We know the sum of the length and width of the rectangle in statement 2, but we do not know the individual values of length and width or how they relate to the triangle. Therefore, the correct answer is option C.
Conclusion
Neither statement alone is sufficient to answer the question, and the statements together are not sufficient to answer the question. Additional information is needed to find the perimeter of the rectangle.
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The area of a triangle is equal to the area of the rectangle. Find the...
Statement 2 says that sum of length and width is given viz. (l+w) and perimeter of rectangle is 2(l+w), hence only statement 2 is sufficient to get the answer as statement 1 is of no use to us.
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The area of a triangle is equal to the area of the rectangle. Find the perimeter of the rectangle.1. The perimeter of the square is 24 inches.2. The sum of the length and the width is 13 inches.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.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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The area of a triangle is equal to the area of the rectangle. Find the perimeter of the rectangle.1. The perimeter of the square is 24 inches.2. The sum of the length and the width is 13 inches.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.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 The area of a triangle is equal to the area of the rectangle. Find the perimeter of the rectangle.1. The perimeter of the square is 24 inches.2. The sum of the length and the width is 13 inches.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.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 The area of a triangle is equal to the area of the rectangle. Find the perimeter of the rectangle.1. The perimeter of the square is 24 inches.2. The sum of the length and the width is 13 inches.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.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?.
The area of a triangle is equal to the area of the rectangle. Find the perimeter of the rectangle.1. The perimeter of the square is 24 inches.2. The sum of the length and the width is 13 inches.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.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 The area of a triangle is equal to the area of the rectangle. Find the perimeter of the rectangle.1. The perimeter of the square is 24 inches.2. The sum of the length and the width is 13 inches.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.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 The area of a triangle is equal to the area of the rectangle. Find the perimeter of the rectangle.1. The perimeter of the square is 24 inches.2. The sum of the length and the width is 13 inches.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.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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