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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?
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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
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.
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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?
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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?.
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.
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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.
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