ABCFED is the map of a field such that ABCD and CDEF are two trapeziums with one of the parallel sides CD common between them. Also, DE = EG, EG -- FC, AG and BH are perpendicular to CD, DG = 5 cm, BH = 12 cm, BC = 15 cm, EF = 19 cm and m andang;DEG = 60anddeg;. What is the length of the perimeter of the map?a)67 cmb)71 cmc)201 cmd)213 cmCorrect answer is option 'A'. Can you explain this answer?

Explore Courses UPSC Exam UPSC Test Series Free Notes EduRev Infinity

Open App

CAT Exam > CAT Questions > ABCFED is the map of a field such that ABCD a...

Join the Discussion on the App

ABCFED is the map of a field such that ABCD and CDEF are two trapeziums with one of the parallel sides CD common between them. Also, DE = EG, EG || FC, AG and BH are perpendicular to CD, DG = 5 cm, BH = 12 cm, BC = 15 cm, EF = 19 cm and m ∠DEG = 60°. What is the length of the perimeter of the map?

a)
67 cm
b)
71 cm
c)
201 cm
d)
213 cm

Correct answer is option 'A'. Can you explain this answer?

FREE This question is part of

CAT Practice Test - 21

Attempt Test

Attempt this Test

Verified Answer

ABCFED is the map of a field such that ABCD and CDEF are two trapezium...

HC² + BH² = BC²
So HC = 9 cm.
DE = EG = DG = 5 cm ...[since DE = EG and ∠DEG = 60° making ∠DEG equilateral]
FC = EG = 5 cm ...[EF || GC and EG || FC, making EFCG a parallelogram]
EF = GC = 19 cm GH = GC - HC = 19 - 9 = 10 cm
AB = GH = 10 cm ...[ABCD is a rectangle] AD² = AG² + DG² ...[Using Pythagoras Theorem in right angled ΔAGD]
AD = 13 cm
Perimeter o f the map = (AB + BC + CF + FE + ED + DA) = 10 + 15 + 5 + 19 + 5 + 1 3 = 67 cm

Hence, option 1.

View all questions of this test

View all answers Start learning for free

< Previous Question Next Question >

Explore Courses for CAT exam

Similar CAT Doubts

ABCD is a trapezium, such that AB, DC are parallel and BC is perpendicular to them. If ∠DAB = 45°, BC = 2 cm and CD = 3 cm then AB=

View answer

ABCD is a trapezium, such that AB, DC are parallel and BC is perpendicular to them. If ∠DAB = 45°, BC = 2 cm and CD = 3 cm then AB=

View answer

AB and CD are 2 parallel chords of a circle which has a radius of 10 units. Parallel chords are 14 units apart such that one of the chords has a length of 12 units. What is the length of non-parallel side of trapezium ABCD

View answer

The base of a vertical pillar with uniform cross section is a trapezium whose parallel sides are of lengths 10 cm and 20 cm while the other two sides are of equal length. The perpendicular distance between the parallel sides of the trapezium is 12 cm. If the height of the pillar is 20 cm, then the total area, in sq cm, of all six surfaces of the pillar is

View answer

In a trapezium ABCD, AB is parallel to DC, BC is perpendicular to DC and ∠BAD = 45° . If DC=5 cm , BC=4 cm, the area of the trapezium in sq cm is Correct answer is '28'. Can you explain this answer?

View answer

Top Courses for CATView all

Quantitative Aptitude (Quant)

Crash Course for CAT

CAT Mock Test Series 2024

Mock Test Series for SNAP

Mock Test Series for XAT

Top Courses for CAT

View all

Share with a Friend

Answer this doubt

Question Description
ABCFED is the map of a field such that ABCD and CDEF are two trapeziums with one of the parallel sides CD common between them. Also, DE = EG, EG || FC, AG and BH are perpendicular to CD, DG = 5 cm, BH = 12 cm, BC = 15 cm, EF = 19 cm and m ∠DEG = 60°. What is the length of the perimeter of the map?a)67 cmb)71 cmc)201 cmd)213 cmCorrect answer is option 'A'. 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 ABCFED is the map of a field such that ABCD and CDEF are two trapeziums with one of the parallel sides CD common between them. Also, DE = EG, EG || FC, AG and BH are perpendicular to CD, DG = 5 cm, BH = 12 cm, BC = 15 cm, EF = 19 cm and m ∠DEG = 60°. What is the length of the perimeter of the map?a)67 cmb)71 cmc)201 cmd)213 cmCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for ABCFED is the map of a field such that ABCD and CDEF are two trapeziums with one of the parallel sides CD common between them. Also, DE = EG, EG || FC, AG and BH are perpendicular to CD, DG = 5 cm, BH = 12 cm, BC = 15 cm, EF = 19 cm and m ∠DEG = 60°. What is the length of the perimeter of the map?a)67 cmb)71 cmc)201 cmd)213 cmCorrect answer is option 'A'. Can you explain this answer?.

Solutions for ABCFED is the map of a field such that ABCD and CDEF are two trapeziums with one of the parallel sides CD common between them. Also, DE = EG, EG || FC, AG and BH are perpendicular to CD, DG = 5 cm, BH = 12 cm, BC = 15 cm, EF = 19 cm and m ∠DEG = 60°. What is the length of the perimeter of the map?a)67 cmb)71 cmc)201 cmd)213 cmCorrect answer is option 'A'. 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 ABCFED is the map of a field such that ABCD and CDEF are two trapeziums with one of the parallel sides CD common between them. Also, DE = EG, EG || FC, AG and BH are perpendicular to CD, DG = 5 cm, BH = 12 cm, BC = 15 cm, EF = 19 cm and m ∠DEG = 60°. What is the length of the perimeter of the map?a)67 cmb)71 cmc)201 cmd)213 cmCorrect answer is option 'A'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of ABCFED is the map of a field such that ABCD and CDEF are two trapeziums with one of the parallel sides CD common between them. Also, DE = EG, EG || FC, AG and BH are perpendicular to CD, DG = 5 cm, BH = 12 cm, BC = 15 cm, EF = 19 cm and m ∠DEG = 60°. What is the length of the perimeter of the map?a)67 cmb)71 cmc)201 cmd)213 cmCorrect answer is option 'A'. Can you explain this answer?, a detailed solution for ABCFED is the map of a field such that ABCD and CDEF are two trapeziums with one of the parallel sides CD common between them. Also, DE = EG, EG || FC, AG and BH are perpendicular to CD, DG = 5 cm, BH = 12 cm, BC = 15 cm, EF = 19 cm and m ∠DEG = 60°. What is the length of the perimeter of the map?a)67 cmb)71 cmc)201 cmd)213 cmCorrect answer is option 'A'. Can you explain this answer? has been provided alongside types of ABCFED is the map of a field such that ABCD and CDEF are two trapeziums with one of the parallel sides CD common between them. Also, DE = EG, EG || FC, AG and BH are perpendicular to CD, DG = 5 cm, BH = 12 cm, BC = 15 cm, EF = 19 cm and m ∠DEG = 60°. What is the length of the perimeter of the map?a)67 cmb)71 cmc)201 cmd)213 cmCorrect answer is option 'A'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice ABCFED is the map of a field such that ABCD and CDEF are two trapeziums with one of the parallel sides CD common between them. Also, DE = EG, EG || FC, AG and BH are perpendicular to CD, DG = 5 cm, BH = 12 cm, BC = 15 cm, EF = 19 cm and m ∠DEG = 60°. What is the length of the perimeter of the map?a)67 cmb)71 cmc)201 cmd)213 cmCorrect answer is option 'A'. Can you explain this answer? tests, examples and also practice CAT tests.

Explore Courses for CAT exam