CAT Exam  >  CAT Questions  >  ABCD is a trapezium and AB is parallel to CD.... Start Learning for Free
ABCD is a trapezium and AB is parallel to CD. AB has a length, which is two times the length of CD. If the diagonals of the trapezium intersect at O, then the ratio of areas of ΔAOB and ΔCOD triangle is 
  • a)
    1: 4
  • b)
    4: 1
  • c)
    1: 2
  • d)
    2: 1 
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
ABCD is a trapezium and AB is parallel to CD. AB has a length, which i...
The triangles AOB and COD are similar. Hence the ratio of areas is equal to the ratio of square of the sides. Since AB is twice of CD, so ratio of areas of ΔAOB and ΔCOD is 4: 1. 
View all questions of this test
Most Upvoted Answer
ABCD is a trapezium and AB is parallel to CD. AB has a length, which i...
To find the ratio of the areas of triangles AOB and COD, we need to find the ratio of their bases and heights.

Let the length of CD be x. Then the length of AB is 2x.

Since AB is parallel to CD, triangles AOB and COD are similar. This means that the ratio of their corresponding sides is equal.

Let the height of triangle AOB be h1 and the height of triangle COD be h2. Then we have:

h1/h2 = AB/CD = 2x/x = 2

So the ratio of the heights of the triangles is 2:1.

The ratio of the areas of the triangles is equal to the ratio of their bases multiplied by the ratio of their heights. Since the ratio of the heights is 2:1, the ratio of the areas is also 2:1.
Attention CAT Students!
To make sure you are not studying endlessly, EduRev has designed CAT study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in CAT.
Explore Courses for CAT exam
ABCD is a trapezium and AB is parallel to CD. AB has a length, which is two times the length of CD. If the diagonals of the trapezium intersect at O, then the ratio of areas of ΔAOB and ΔCOD triangle isa)1: 4b)4: 1c)1: 2d)2: 1Correct answer is option 'B'. Can you explain this answer?
Question Description
ABCD is a trapezium and AB is parallel to CD. AB has a length, which is two times the length of CD. If the diagonals of the trapezium intersect at O, then the ratio of areas of ΔAOB and ΔCOD triangle isa)1: 4b)4: 1c)1: 2d)2: 1Correct answer is option 'B'. Can you explain this answer? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about ABCD is a trapezium and AB is parallel to CD. AB has a length, which is two times the length of CD. If the diagonals of the trapezium intersect at O, then the ratio of areas of ΔAOB and ΔCOD triangle isa)1: 4b)4: 1c)1: 2d)2: 1Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for ABCD is a trapezium and AB is parallel to CD. AB has a length, which is two times the length of CD. If the diagonals of the trapezium intersect at O, then the ratio of areas of ΔAOB and ΔCOD triangle isa)1: 4b)4: 1c)1: 2d)2: 1Correct answer is option 'B'. Can you explain this answer?.
Solutions for ABCD is a trapezium and AB is parallel to CD. AB has a length, which is two times the length of CD. If the diagonals of the trapezium intersect at O, then the ratio of areas of ΔAOB and ΔCOD triangle isa)1: 4b)4: 1c)1: 2d)2: 1Correct answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for CAT. Download more important topics, notes, lectures and mock test series for CAT Exam by signing up for free.
Here you can find the meaning of ABCD is a trapezium and AB is parallel to CD. AB has a length, which is two times the length of CD. If the diagonals of the trapezium intersect at O, then the ratio of areas of ΔAOB and ΔCOD triangle isa)1: 4b)4: 1c)1: 2d)2: 1Correct answer is option 'B'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of ABCD is a trapezium and AB is parallel to CD. AB has a length, which is two times the length of CD. If the diagonals of the trapezium intersect at O, then the ratio of areas of ΔAOB and ΔCOD triangle isa)1: 4b)4: 1c)1: 2d)2: 1Correct answer is option 'B'. Can you explain this answer?, a detailed solution for ABCD is a trapezium and AB is parallel to CD. AB has a length, which is two times the length of CD. If the diagonals of the trapezium intersect at O, then the ratio of areas of ΔAOB and ΔCOD triangle isa)1: 4b)4: 1c)1: 2d)2: 1Correct answer is option 'B'. Can you explain this answer? has been provided alongside types of ABCD is a trapezium and AB is parallel to CD. AB has a length, which is two times the length of CD. If the diagonals of the trapezium intersect at O, then the ratio of areas of ΔAOB and ΔCOD triangle isa)1: 4b)4: 1c)1: 2d)2: 1Correct answer is option 'B'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice ABCD is a trapezium and AB is parallel to CD. AB has a length, which is two times the length of CD. If the diagonals of the trapezium intersect at O, then the ratio of areas of ΔAOB and ΔCOD triangle isa)1: 4b)4: 1c)1: 2d)2: 1Correct answer is option 'B'. Can you explain this answer? tests, examples and also practice CAT tests.
Explore Courses for CAT exam

Top Courses for CAT

Explore Courses
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev