GMAT Question  >  In the figure above, ABCD is a quadrilateral ... Save

Related Test

In the figure above, ABCD is a quadrilateral in which sides AB and CD are parallel. What is the area of the quadrilateral?
(1) The distance between sides AB and CD is 4 units
(2) The length of side AD is √17 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?

Answers

Step 1 & 2: Understand Question and Draw Inference
Given:
  • In quadrilateral ABCD, AB || CD
    • ABCD is a trapezium
To find: Area of quadrilateral ABCD
So, to find the area of trapezium, we need to find the value of H
Step 3 : Analyze Statement 1 independent
  • Statement 1 is:
    • H = 4
    • This gives the value of H. Hence, Statment 1 is sufficient to find the area.
Step 4 : Analyze Statement 2 independent
  • Statement 2 is:
    • AD = √17
  • Let’s drop perpendiculars DE and CF on side AB.
  • Put (II) in (I):
25 + 4 – 4y = 17
  • 4y = 12
  • y = 3 . . . (III)
 
  • Put (III) in (II)
32 + H2 = 25
  • H2 = 16
  • H = 4 (rejecting negative value since length cannot be negative) 
 
  • Since we now have a unique value of H, we can find a uniqu e value of the area as well.
  • Hence Statement 2 is also 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
Therefore, the correct answer is Option D.

1 Crore+ students have signed up on EduRev. Have you?
In the figure above, ABCD is a quadrilateral in which sides AB and CD are parallel. What is the area of the quadrilateral?(1) The distance between sides AB and CD is 4 units(2) The length of side AD is √17 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:
  • In quadrilateral ABCD, AB || CD
    • ABCD is a trapezium
To find: Area of quadrilateral ABCD
So, to find the area of trapezium, we need to find the value of H
Step 3 : Analyze Statement 1 independent
  • Statement 1 is:
    • H = 4
    • This gives the value of H. Hence, Statment 1 is sufficient to find the area.
Step 4 : Analyze Statement 2 independent
  • Statement 2 is:
    • AD = √17
  • Let’s drop perpendiculars DE and CF on side AB.
  • Put (II) in (I):
25 + 4 – 4y = 17
  • 4y = 12
  • y = 3 . . . (III)
 
  • Put (III) in (II)
32 + H2 = 25
  • H2 = 16
  • H = 4 (rejecting negative value since length cannot be negative) 
 
  • Since we now have a unique value of H, we can find a uniqu e value of the area as well.
  • Hence Statement 2 is also 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
Therefore, the correct answer is Option D.

View courses related to this question
Explore GMAT courses
Explore GMAT courses
View courses related to this question

Similar GMAT Doubts

  • Directions: Each Data Sufficiency problem consists of a question and two st... more

  • 1 Answer

  • Directions: Each GMAT Data Sufficiency problem consists of a question and t... more

  • 1 Answer

  • Directions: Each GMAT Data Sufficiency problem consists of a question and t... more

  • 1 Answer

  • Directions: Each GMAT Data Sufficiency problem consists of a question and t... more

  • 1 Answer

Question Description
In the figure above, ABCD is a quadrilateral in which sides AB and CD are parallel. What is the area of the quadrilateral?(1) The distance between sides AB and CD is 4 units(2) The length of side AD is √17 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 2023 is part of GMAT preparation. The Question and answers have been prepared according to the GMAT exam syllabus. Information about In the figure above, ABCD is a quadrilateral in which sides AB and CD are parallel. What is the area of the quadrilateral?(1) The distance between sides AB and CD is 4 units(2) The length of side AD is √17 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 2023 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In the figure above, ABCD is a quadrilateral in which sides AB and CD are parallel. What is the area of the quadrilateral?(1) The distance between sides AB and CD is 4 units(2) The length of side AD is √17 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 In the figure above, ABCD is a quadrilateral in which sides AB and CD are parallel. What is the area of the quadrilateral?(1) The distance between sides AB and CD is 4 units(2) The length of side AD is √17 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 In the figure above, ABCD is a quadrilateral in which sides AB and CD are parallel. What is the area of the quadrilateral?(1) The distance between sides AB and CD is 4 units(2) The length of side AD is √17 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 In the figure above, ABCD is a quadrilateral in which sides AB and CD are parallel. What is the area of the quadrilateral?(1) The distance between sides AB and CD is 4 units(2) The length of side AD is √17 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 In the figure above, ABCD is a quadrilateral in which sides AB and CD are parallel. What is the area of the quadrilateral?(1) The distance between sides AB and CD is 4 units(2) The length of side AD is √17 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 In the figure above, ABCD is a quadrilateral in which sides AB and CD are parallel. What is the area of the quadrilateral?(1) The distance between sides AB and CD is 4 units(2) The length of side AD is √17 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 In the figure above, ABCD is a quadrilateral in which sides AB and CD are parallel. What is the area of the quadrilateral?(1) The distance between sides AB and CD is 4 units(2) The length of side AD is √17 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: In quadrilateral ABCD, AB || CD ABCD is a trapezium To find: Area of quadrilateral ABCDSo, to find the area of trapezium, we need to find the value of HStep 3 : Analyze Statement 1 independent Statement 1 is: H = 4 This gives the value of H. Hence, Statment 1 is sufficient to find the area. Step 4 : Analyze Statement 2 independent Statement 2 is: AD = 17 Lets drop perpendiculars DE and CF on side AB. Put (II) in (I):25 + 4 4y = 17 4y = 12 y = 3 . . . (III) Put (III) in (II)32 + H2 = 25 H2 = 16 H = 4 (rejecting negative value since length cannot be negative) Since we now have a unique value of H, we can find a uniqu e value of the area as well. Hence Statement 2 is also sufficient to answer the questionStep 5: Analyze Both Statements Together (if needed)Since weve already arrived at a unique answer in each of Steps 3 and 4, thisstep is not requiredTherefore, the correct answer is Option D.