GMAT Question > If parallelogram ABCD has a perimeter of 12 u...

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

(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?

Mittul Madaan
Apr 15, 2020 |

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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 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?

- 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:

- 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

- 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

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

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 .**

is not required

Hence the correct answer is

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Notes Wala
Feb 17, 2022 |

- 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:

- 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

- 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

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

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 .**

is not required

Hence the correct answer is

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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 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?.

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.
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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 .