ABCD is a trapezium with parallel sides AB = 2cm and DC = 3cm. E and F are the mid- points of the non-parallel sides. The ratio of area of ABFE to area of EFCD is

9:10

8:9

9:11

11:9

Views: 1,262 students

Found 6 tutors discussing this question

Owen Discussed

ABCD is a trapezium with parallel sides AB = 2cm and DC = 3cm. E and F are the mid- points of the non-parallel sides. The ratio of area of ABFE to area of EFCD is

5 mins ago

Discuss this question LIVE

5 mins ago

Text solutionVerified

(c):- Join AC. In ΔACD. EG∥DC and E and G are mid-points of AD and AC, respective ∴EG=12DC=32 Similarly, in ΔABC GF=12AB=1 EF=EG+GF=1+32=52 ∴Area if trapezium=12 (Sum of parallel sides×Height) Now, required ratio =AreaofABFEAreaofEFCD=12(2+52)×h12(3+52)×h=911

Was this solution helpful?

150

Report

One destination for complete JEE/NEET preparation

One destination to cover all your homework and assignment needs

Learn Practice Revision Succeed

Instant 1:1 help, 24x7

60, 000+ Expert tutors

Textbook solutions

Big idea maths, McGraw-Hill Education etc

Essay review

Get expert feedback on your essay

Schedule classes

High dosage tutoring from Dedicated 3 experts

Trusted by 4 million+ students

Stuck on the question or explanation?

Connect with our math tutors online and get step by step solution of this question.

231 students are taking LIVE classes

Question Text	ABCD is a trapezium with parallel sides AB = 2cm and DC = 3cm. E and F are the mid- points of the non-parallel sides. The ratio of area of ABFE to area of EFCD is
Answer Type	Text solution:1
Upvotes	150

ABCD is a trapezium with parallel sides AB = 2cm and DC = 3cm. E and F are the mid- points of the non-parallel sides. The ratio of area of ABFE to area of EFCD is

Text solutionVerified

Practice questions from similar books