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If parallelogram ABCD has a perimeter of 12 units and ∠ADC = 120 , what is the area of the parallelogram?
(1) BD = 2√3 units
(2) The distance between sides AB and CD is √3 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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Answers

Mittul Madaan
Apr 15, 2020
Related If parallelogram ABCD has a perimeter of 12 units and ∠ADC = 120 , what is the area of the parallelogram?(1) BD = 2√3 units(2) The distance between sides AB and CD is √3 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?
Step 1 & 2: Understand Question and Draw Inference
Given
  • ABCD is a parallelogram.
    • Let AB and CD measure p units and AD and BC measure q units
    • 2(p + q) = 12
      • p + q = 6 . . . (I)
    • ∠ADC = 120
      • Using the properties of parallel lines, we can mark the other ∠s of the parallelogram as below:
 
To Find : Area of the parallelogram
  • Area = p * h, where h is the perpendicular distance between the base and the side opposite to it.
  • Since ΔAED is a 30-60-90 triangle, applying the angle-side property
Step 3 : Analyze Statement 1 independent
BD = 2√3 units
  • In right ΔAED, applying side ratio property of 30-60-90 triangle, we get
  • Since we get a unique value of Area, Statement 1 is sufficient to answer
Step 4 : Analyze Statement 2 independent
h= √3 units
  • From Equation II, q = 2
  • From Equation I, p = 4
  • Since we now know the value of p and q, we can find the value of product pq, and hence of the area of the parallelogram, using Equation III
  • Hence, even Statement 2 is sufficient to answer the question
Step 5: Analyze Both Statements Together (if needed)
Since we’ve already arrived at a unique answer in Steps 3 and 4 each, this step
is not required
Hence the correct answer is Option D .

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Notes Wala
Feb 17, 2022
Step 1 & 2: Understand Question and Draw Inference
Given
  • ABCD is a parallelogram.
    • Let AB and CD measure p units and AD and BC measure q units
    • 2(p + q) = 12
      • p + q = 6 . . . (I)
    • ∠ADC = 120
      • Using the properties of parallel lines, we can mark the other ∠s of the parallelogram as below:
 
To Find : Area of the parallelogram
  • Area = p * h, where h is the perpendicular distance between the base and the side opposite to it.
  • Since ΔAED is a 30-60-90 triangle, applying the angle-side property
Step 3 : Analyze Statement 1 independent
BD = 2√3 units
  • In right ΔAED, applying side ratio property of 30-60-90 triangle, we get
  • Since we get a unique value of Area, Statement 1 is sufficient to answer
Step 4 : Analyze Statement 2 independent
h= √3 units
  • From Equation II, q = 2
  • From Equation I, p = 4
  • Since we now know the value of p and q, we can find the value of product pq, and hence of the area of the parallelogram, using Equation III
  • Hence, even Statement 2 is sufficient to answer the question
Step 5: Analyze Both Statements Together (if needed)
Since we’ve already arrived at a unique answer in Steps 3 and 4 each, this step
is not required
Hence the correct answer is Option D .

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Question Description
If parallelogram ABCD has a perimeter of 12 units and ∠ADC = 120 , what is the area of the parallelogram?(1) BD = 2√3 units(2) The distance between sides AB and CD is √3 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 2022 is part of GMAT preparation. The Question and answers have been prepared according to the GMAT exam syllabus. Information about If parallelogram ABCD has a perimeter of 12 units and ∠ADC = 120 , what is the area of the parallelogram?(1) BD = 2√3 units(2) The distance between sides AB and CD is √3 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 2022 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If parallelogram ABCD has a perimeter of 12 units and ∠ADC = 120 , what is the area of the parallelogram?(1) BD = 2√3 units(2) The distance between sides AB and CD is √3 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?.
Solutions for If parallelogram ABCD has a perimeter of 12 units and ∠ADC = 120 , what is the area of the parallelogram?(1) BD = 2√3 units(2) The distance between sides AB and CD is √3 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? in English & in Hindi are available as part of our courses for GMAT. Download more important topics, notes, lectures and mock test series for GMAT Exam by signing up for free.
Here you can find the meaning of If parallelogram ABCD has a perimeter of 12 units and ∠ADC = 120 , what is the area of the parallelogram?(1) BD = 2√3 units(2) The distance between sides AB and CD is √3 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? defined & explained in the simplest way possible. Besides giving the explanation of If parallelogram ABCD has a perimeter of 12 units and ∠ADC = 120 , what is the area of the parallelogram?(1) BD = 2√3 units(2) The distance between sides AB and CD is √3 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 If parallelogram ABCD has a perimeter of 12 units and ∠ADC = 120 , what is the area of the parallelogram?(1) BD = 2√3 units(2) The distance between sides AB and CD is √3 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 If parallelogram ABCD has a perimeter of 12 units and ∠ADC = 120 , what is the area of the parallelogram?(1) BD = 2√3 units(2) The distance between sides AB and CD is √3 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 If parallelogram ABCD has a perimeter of 12 units and ∠ADC = 120 , what is the area of the parallelogram?(1) BD = 2√3 units(2) The distance between sides AB and CD is √3 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.
Step 1 2: Understand Question and Draw InferenceGiven ABCD is a parallelogram. Let AB and CD measure p units and AD and BC measure q units 2(p + q) = 12 p + q = 6 . . . (I) ADC = 120 Using the properties of parallel lines, we can mark the other s of the parallelogram as below: To Find :Area of the parallelogram Area = p * h, where h is the perpendicular distance between the base and the side opposite to it. Since AED is a 30-60-90 triangle, applying the angle-side propertyStep 3 : Analyze Statement 1 independentBD = 23 units In right AED, applying side ratio property of 30-60-90 triangle, we get Since we get a unique value of Area, Statement 1 is sufficient to answerStep 4 : Analyze Statement 2 independenth= 3 units From Equation II, q = 2 From Equation I, p = 4 Since we now know the value of p and q, we can find the value of product pq, and hence of the area of the parallelogram, using Equation III Hence, even Statement 2 is sufficient to answer the questionStep 5: Analyze Both Statements Together (if needed)Since weve already arrived at a unique answer in Steps 3 and 4 each, this stepis not requiredHence the correct answer is Option D .