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What is the value of a?
(1) The area of an equilateral triangle of side length 3a units is 9√3 square units
(2) The area of an isosceles triangle whose sides are of length 4a, 4a and a units is 3√7 square units
(1) The area of an equilateral triangle of side length 3a units is 9√3 square units
(2) The area of an isosceles triangle whose sides are of length 4a, 4a and a units is 3√7 square units
- 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 'D'. Can you explain this answer?
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Verified Answer
What is the value of a?(1) The area of an equilateral triangle of side...
Steps 1 & 2: Understand Question and Draw Inferences
To find: the value of a
Step 3: Analyze Statement 1 independently
- Area of an equilateral Δ of side length 3a is 9√3
So, a = 2 (rejecting a = -2 because the side of a triangle, 3a, cannot be negative)
Thus, Statement 1 alone is sufficient to answer the question
Thus, Statement 1 alone is sufficient to answer the question
Step 4: Analyze Statement 2 independently
- The area of an isosceles triangle whose sides are of length 4a, 4a and a units is 3√7 square units
- Let’s draw the given triangle:
- A perpendicular on the side that measures a units from the opposite vertex will bisect this side (Property of Isosceles triangles)
- Let the height of the perpendicular be h
- So, by applying Pythagoras Theorem,
=> 
(Rejecting the negative value of h since the length of a perpendicular cannot be negative)
(Rejecting the negative value of h since the length of a perpendicular cannot be negative)
so a2 =4
That is, a = 2 (rejecting a = -2 because the side of a triangle, 3a, cannot be
negative)
negative)
Thus, Statement 2 alone is sufficient to answer the question
Step 5: Analyze both Statements together (if needed)
Since we’ve already arrived at a unique answer in each of Steps 3 and 4, this
step is not required
Since we’ve already arrived at a unique answer in each of Steps 3 and 4, this
step is not required
Answer: Option D
Most Upvoted Answer
What is the value of a?(1) The area of an equilateral triangle of side...
From statement (1), we know that the area of the equilateral triangle is 9. The formula for the area of an equilateral triangle is A = (sqrt(3)/4) * s^2, where A is the area and s is the side length. Substituting in the given values, we have 9 = (sqrt(3)/4) * (3a)^2.
Simplifying, we get 9 = (sqrt(3)/4) * 9a^2.
Dividing both sides by (sqrt(3)/4), we have 9(4/sqrt(3)) = 9a^2.
Simplifying further, we get 12/sqrt(3) = 9a^2.
Since sqrt(3) is a constant, we can simplify the left side to 12*sqrt(3)/3, which becomes 4*sqrt(3).
So, we have 4*sqrt(3) = 9a^2.
Dividing both sides by 9, we get (4*sqrt(3))/9 = a^2.
Taking the square root of both sides, we have a = sqrt((4*sqrt(3))/9).
Therefore, the value of a is sqrt((4*sqrt(3))/9).
Simplifying, we get 9 = (sqrt(3)/4) * 9a^2.
Dividing both sides by (sqrt(3)/4), we have 9(4/sqrt(3)) = 9a^2.
Simplifying further, we get 12/sqrt(3) = 9a^2.
Since sqrt(3) is a constant, we can simplify the left side to 12*sqrt(3)/3, which becomes 4*sqrt(3).
So, we have 4*sqrt(3) = 9a^2.
Dividing both sides by 9, we get (4*sqrt(3))/9 = a^2.
Taking the square root of both sides, we have a = sqrt((4*sqrt(3))/9).
Therefore, the value of a is sqrt((4*sqrt(3))/9).
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What is the value of a?(1) The area of an equilateral triangle of side length 3a units is 9√3square units(2) The area of an isosceles triangle whose sides are of length 4a, 4a and a units is 3√7square unitsa)Statement (1) ALONE is sufficient, but statement (2) alone isnot sufficient to answer the question asked.b)Statement (2) ALONE is sufficient, but statement (1) alone isnot sufficient to answer the question asked.c)BOTH statements (1) and (2) TOGETHER are sufficient toanswer the question asked, but NEITHER statement ALONEis sufficient to answer the question asked.d)EACH statement ALONE is sufficient to answer the questionasked.e)Statements (1) and (2) TOGETHER are NOT sufficient toanswer the question asked, and additional data specific to theproblem are needed.Correct answer is option 'D'. Can you explain this answer?
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What is the value of a?(1) The area of an equilateral triangle of side length 3a units is 9√3square units(2) The area of an isosceles triangle whose sides are of length 4a, 4a and a units is 3√7square unitsa)Statement (1) ALONE is sufficient, but statement (2) alone isnot sufficient to answer the question asked.b)Statement (2) ALONE is sufficient, but statement (1) alone isnot sufficient to answer the question asked.c)BOTH statements (1) and (2) TOGETHER are sufficient toanswer the question asked, but NEITHER statement ALONEis sufficient to answer the question asked.d)EACH statement ALONE is sufficient to answer the questionasked.e)Statements (1) and (2) TOGETHER are NOT sufficient toanswer the question asked, and additional data specific to theproblem are needed.Correct answer is option 'D'. 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 value of a?(1) The area of an equilateral triangle of side length 3a units is 9√3square units(2) The area of an isosceles triangle whose sides are of length 4a, 4a and a units is 3√7square unitsa)Statement (1) ALONE is sufficient, but statement (2) alone isnot sufficient to answer the question asked.b)Statement (2) ALONE is sufficient, but statement (1) alone isnot sufficient to answer the question asked.c)BOTH statements (1) and (2) TOGETHER are sufficient toanswer the question asked, but NEITHER statement ALONEis sufficient to answer the question asked.d)EACH statement ALONE is sufficient to answer the questionasked.e)Statements (1) and (2) TOGETHER are NOT sufficient toanswer the question asked, and additional data specific to theproblem are needed.Correct answer is option 'D'. 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 value of a?(1) The area of an equilateral triangle of side length 3a units is 9√3square units(2) The area of an isosceles triangle whose sides are of length 4a, 4a and a units is 3√7square unitsa)Statement (1) ALONE is sufficient, but statement (2) alone isnot sufficient to answer the question asked.b)Statement (2) ALONE is sufficient, but statement (1) alone isnot sufficient to answer the question asked.c)BOTH statements (1) and (2) TOGETHER are sufficient toanswer the question asked, but NEITHER statement ALONEis sufficient to answer the question asked.d)EACH statement ALONE is sufficient to answer the questionasked.e)Statements (1) and (2) TOGETHER are NOT sufficient toanswer the question asked, and additional data specific to theproblem are needed.Correct answer is option 'D'. Can you explain this answer?.
What is the value of a?(1) The area of an equilateral triangle of side length 3a units is 9√3square units(2) The area of an isosceles triangle whose sides are of length 4a, 4a and a units is 3√7square unitsa)Statement (1) ALONE is sufficient, but statement (2) alone isnot sufficient to answer the question asked.b)Statement (2) ALONE is sufficient, but statement (1) alone isnot sufficient to answer the question asked.c)BOTH statements (1) and (2) TOGETHER are sufficient toanswer the question asked, but NEITHER statement ALONEis sufficient to answer the question asked.d)EACH statement ALONE is sufficient to answer the questionasked.e)Statements (1) and (2) TOGETHER are NOT sufficient toanswer the question asked, and additional data specific to theproblem are needed.Correct answer is option 'D'. 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 value of a?(1) The area of an equilateral triangle of side length 3a units is 9√3square units(2) The area of an isosceles triangle whose sides are of length 4a, 4a and a units is 3√7square unitsa)Statement (1) ALONE is sufficient, but statement (2) alone isnot sufficient to answer the question asked.b)Statement (2) ALONE is sufficient, but statement (1) alone isnot sufficient to answer the question asked.c)BOTH statements (1) and (2) TOGETHER are sufficient toanswer the question asked, but NEITHER statement ALONEis sufficient to answer the question asked.d)EACH statement ALONE is sufficient to answer the questionasked.e)Statements (1) and (2) TOGETHER are NOT sufficient toanswer the question asked, and additional data specific to theproblem are needed.Correct answer is option 'D'. 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 value of a?(1) The area of an equilateral triangle of side length 3a units is 9√3square units(2) The area of an isosceles triangle whose sides are of length 4a, 4a and a units is 3√7square unitsa)Statement (1) ALONE is sufficient, but statement (2) alone isnot sufficient to answer the question asked.b)Statement (2) ALONE is sufficient, but statement (1) alone isnot sufficient to answer the question asked.c)BOTH statements (1) and (2) TOGETHER are sufficient toanswer the question asked, but NEITHER statement ALONEis sufficient to answer the question asked.d)EACH statement ALONE is sufficient to answer the questionasked.e)Statements (1) and (2) TOGETHER are NOT sufficient toanswer the question asked, and additional data specific to theproblem are needed.Correct answer is option 'D'. Can you explain this answer?.
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What is the value of a?(1) The area of an equilateral triangle of side length 3a units is 9√3square units(2) The area of an isosceles triangle whose sides are of length 4a, 4a and a units is 3√7square unitsa)Statement (1) ALONE is sufficient, but statement (2) alone isnot sufficient to answer the question asked.b)Statement (2) ALONE is sufficient, but statement (1) alone isnot sufficient to answer the question asked.c)BOTH statements (1) and (2) TOGETHER are sufficient toanswer the question asked, but NEITHER statement ALONEis sufficient to answer the question asked.d)EACH statement ALONE is sufficient to answer the questionasked.e)Statements (1) and (2) TOGETHER are NOT sufficient toanswer the question asked, and additional data specific to theproblem are needed.Correct answer is option 'D'. Can you explain this answer?, a detailed solution for What is the value of a?(1) The area of an equilateral triangle of side length 3a units is 9√3square units(2) The area of an isosceles triangle whose sides are of length 4a, 4a and a units is 3√7square unitsa)Statement (1) ALONE is sufficient, but statement (2) alone isnot sufficient to answer the question asked.b)Statement (2) ALONE is sufficient, but statement (1) alone isnot sufficient to answer the question asked.c)BOTH statements (1) and (2) TOGETHER are sufficient toanswer the question asked, but NEITHER statement ALONEis sufficient to answer the question asked.d)EACH statement ALONE is sufficient to answer the questionasked.e)Statements (1) and (2) TOGETHER are NOT sufficient toanswer the question asked, and additional data specific to theproblem are needed.Correct answer is option 'D'. Can you explain this answer? has been provided alongside types of What is the value of a?(1) The area of an equilateral triangle of side length 3a units is 9√3square units(2) The area of an isosceles triangle whose sides are of length 4a, 4a and a units is 3√7square unitsa)Statement (1) ALONE is sufficient, but statement (2) alone isnot sufficient to answer the question asked.b)Statement (2) ALONE is sufficient, but statement (1) alone isnot sufficient to answer the question asked.c)BOTH statements (1) and (2) TOGETHER are sufficient toanswer the question asked, but NEITHER statement ALONEis sufficient to answer the question asked.d)EACH statement ALONE is sufficient to answer the questionasked.e)Statements (1) and (2) TOGETHER are NOT sufficient toanswer the question asked, and additional data specific to theproblem are needed.Correct answer is option 'D'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice What is the value of a?(1) The area of an equilateral triangle of side length 3a units is 9√3square units(2) The area of an isosceles triangle whose sides are of length 4a, 4a and a units is 3√7square unitsa)Statement (1) ALONE is sufficient, but statement (2) alone isnot sufficient to answer the question asked.b)Statement (2) ALONE is sufficient, but statement (1) alone isnot sufficient to answer the question asked.c)BOTH statements (1) and (2) TOGETHER are sufficient toanswer the question asked, but NEITHER statement ALONEis sufficient to answer the question asked.d)EACH statement ALONE is sufficient to answer the questionasked.e)Statements (1) and (2) TOGETHER are NOT sufficient toanswer the question asked, and additional data specific to theproblem are needed.Correct answer is option 'D'. Can you explain this answer? tests, examples and also practice GMAT tests.
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