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A border of uniform width of ‘w’ inches is placed around a rectangular photograph. What is the area of the border, in square inches?
- w = 2 inches
- Perimeter of rectangular photograph = 20 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 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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Most Upvoted Answer
A border of uniform width of w inches is placed around a rectangular p...
Given Information:
- A rectangular photograph has a perimeter of 20 inches.
- A border of uniform width of w inches is placed around the photograph.
To find:
- The area of the border in square inches.
Statement 1: w = 2 inches
Statement 2: The dimensions of the rectangular photograph are 8 inches by 2 inches.
Solution:
Let's assume that the length and width of the rectangular photograph are "l" and "w", respectively.
From the given information, we know that:
- Perimeter of the photograph = 2(l + w) = 20
- Therefore, l + w = 10
Now, when a border of width "w" is added to all sides of the photograph, the new length and width become:
- New length = l + 2w
- New width = w + 2w + w = 4w
The area of the border can be found by subtracting the area of the original photograph from the area of the new rectangle:
Area of the border = (l + 2w)(w + 2w) - lw
Simplifying, we get:
Area of the border = 2lw + 6w^2
Substituting the value of "w" from statement 1, we get:
Area of the border = 2lw + 6(2)^2 = 2lw + 24
We still need to find the value of "lw" to calculate the area of the border.
Statement 2 gives us the dimensions of the photograph: l = 8 and w = 2.
Substituting these values, we get:
lw = (8)(2) = 16
Now, we can find the area of the border:
Area of the border = 2lw + 24 = 2(16) + 24 = 56 square inches
Therefore, both statements together are sufficient to answer the question asked.
Answer: Option (C)
- A rectangular photograph has a perimeter of 20 inches.
- A border of uniform width of w inches is placed around the photograph.
To find:
- The area of the border in square inches.
Statement 1: w = 2 inches
Statement 2: The dimensions of the rectangular photograph are 8 inches by 2 inches.
Solution:
Let's assume that the length and width of the rectangular photograph are "l" and "w", respectively.
From the given information, we know that:
- Perimeter of the photograph = 2(l + w) = 20
- Therefore, l + w = 10
Now, when a border of width "w" is added to all sides of the photograph, the new length and width become:
- New length = l + 2w
- New width = w + 2w + w = 4w
The area of the border can be found by subtracting the area of the original photograph from the area of the new rectangle:
Area of the border = (l + 2w)(w + 2w) - lw
Simplifying, we get:
Area of the border = 2lw + 6w^2
Substituting the value of "w" from statement 1, we get:
Area of the border = 2lw + 6(2)^2 = 2lw + 24
We still need to find the value of "lw" to calculate the area of the border.
Statement 2 gives us the dimensions of the photograph: l = 8 and w = 2.
Substituting these values, we get:
lw = (8)(2) = 16
Now, we can find the area of the border:
Area of the border = 2lw + 24 = 2(16) + 24 = 56 square inches
Therefore, both statements together are sufficient to answer the question asked.
Answer: Option (C)
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Community Answer
A border of uniform width of w inches is placed around a rectangular p...
What the formula for the area of the fence?
Derive it and check for yourself.
Hint: You need the l+b term for fencing both insides as well as outside.
Derive it and check for yourself.
Hint: You need the l+b term for fencing both insides as well as outside.
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A border of uniform width of w inches is placed around a rectangular photograph. What is the area of the border, in square inches? w = 2 inches Perimeter of rectangular photograph = 20 inchesa)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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A border of uniform width of w inches is placed around a rectangular photograph. What is the area of the border, in square inches? w = 2 inches Perimeter of rectangular photograph = 20 inchesa)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 A border of uniform width of w inches is placed around a rectangular photograph. What is the area of the border, in square inches? w = 2 inches Perimeter of rectangular photograph = 20 inchesa)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 A border of uniform width of w inches is placed around a rectangular photograph. What is the area of the border, in square inches? w = 2 inches Perimeter of rectangular photograph = 20 inchesa)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?.
A border of uniform width of w inches is placed around a rectangular photograph. What is the area of the border, in square inches? w = 2 inches Perimeter of rectangular photograph = 20 inchesa)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 A border of uniform width of w inches is placed around a rectangular photograph. What is the area of the border, in square inches? w = 2 inches Perimeter of rectangular photograph = 20 inchesa)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 A border of uniform width of w inches is placed around a rectangular photograph. What is the area of the border, in square inches? w = 2 inches Perimeter of rectangular photograph = 20 inchesa)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 A border of uniform width of w inches is placed around a rectangular photograph. What is the area of the border, in square inches? w = 2 inches Perimeter of rectangular photograph = 20 inchesa)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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A border of uniform width of w inches is placed around a rectangular photograph. What is the area of the border, in square inches? w = 2 inches Perimeter of rectangular photograph = 20 inchesa)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?, a detailed solution for A border of uniform width of w inches is placed around a rectangular photograph. What is the area of the border, in square inches? w = 2 inches Perimeter of rectangular photograph = 20 inchesa)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? has been provided alongside types of A border of uniform width of w inches is placed around a rectangular photograph. What is the area of the border, in square inches? w = 2 inches Perimeter of rectangular photograph = 20 inchesa)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? theory, EduRev gives you an
ample number of questions to practice A border of uniform width of w inches is placed around a rectangular photograph. What is the area of the border, in square inches? w = 2 inches Perimeter of rectangular photograph = 20 inchesa)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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