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Length of the fence shaping of trapezium field ABCD IS 120m if BC is 48 m , CD is 17 m and AD is 40m find the area of this field. side AB is perpendicular to the parallel sides AD and BC?
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Length of the fence shaping of trapezium field ABCD IS 120m if BC is 4...
Here’s how to find the area of the trapezium field ABCD.
Given Information
- Length of the fence (perimeter) = 120 m
- Length of BC = 48 m
- Length of CD = 17 m
- Length of AD = 40 m
- AB is perpendicular to AD and BC.
Finding Length of AB
- Since ABCD is a trapezium with AB perpendicular to the parallel sides AD and BC, we can apply the trapezium area formula.
- The perimeter equation can be used to find AB.
Perimeter Calculation
- Perimeter = AB + BC + CD + AD
- 120 = AB + 48 + 17 + 40
- Solving for AB:
- AB = 120 - (48 + 17 + 40)
- AB = 120 - 105
- AB = 15 m
Area Calculation
- Area of trapezium = 1/2 * (Base1 + Base2) * Height
- Base1 (BC) = 48 m
- Base2 (AD) = 40 m
- Height (AB) = 15 m
- Area = 1/2 * (48 + 40) * 15
- Area = 1/2 * 88 * 15
- Area = 44 * 15
- Area = 660 m²
Final Result
- The area of trapezium field ABCD is 660 m².
This detailed breakdown provides a clear path to calculating the area of the trapezium field based on the given dimensions.
Given Information
- Length of the fence (perimeter) = 120 m
- Length of BC = 48 m
- Length of CD = 17 m
- Length of AD = 40 m
- AB is perpendicular to AD and BC.
Finding Length of AB
- Since ABCD is a trapezium with AB perpendicular to the parallel sides AD and BC, we can apply the trapezium area formula.
- The perimeter equation can be used to find AB.
Perimeter Calculation
- Perimeter = AB + BC + CD + AD
- 120 = AB + 48 + 17 + 40
- Solving for AB:
- AB = 120 - (48 + 17 + 40)
- AB = 120 - 105
- AB = 15 m
Area Calculation
- Area of trapezium = 1/2 * (Base1 + Base2) * Height
- Base1 (BC) = 48 m
- Base2 (AD) = 40 m
- Height (AB) = 15 m
- Area = 1/2 * (48 + 40) * 15
- Area = 1/2 * 88 * 15
- Area = 44 * 15
- Area = 660 m²
Final Result
- The area of trapezium field ABCD is 660 m².
This detailed breakdown provides a clear path to calculating the area of the trapezium field based on the given dimensions.
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Length of the fence shaping of trapezium field ABCD IS 120m if BC is 48 m , CD is 17 m and AD is 40m find the area of this field. side AB is perpendicular to the parallel sides AD and BC?
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Length of the fence shaping of trapezium field ABCD IS 120m if BC is 48 m , CD is 17 m and AD is 40m find the area of this field. side AB is perpendicular to the parallel sides AD and BC? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Length of the fence shaping of trapezium field ABCD IS 120m if BC is 48 m , CD is 17 m and AD is 40m find the area of this field. side AB is perpendicular to the parallel sides AD and BC? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Length of the fence shaping of trapezium field ABCD IS 120m if BC is 48 m , CD is 17 m and AD is 40m find the area of this field. side AB is perpendicular to the parallel sides AD and BC?.
Length of the fence shaping of trapezium field ABCD IS 120m if BC is 48 m , CD is 17 m and AD is 40m find the area of this field. side AB is perpendicular to the parallel sides AD and BC? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Length of the fence shaping of trapezium field ABCD IS 120m if BC is 48 m , CD is 17 m and AD is 40m find the area of this field. side AB is perpendicular to the parallel sides AD and BC? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Length of the fence shaping of trapezium field ABCD IS 120m if BC is 48 m , CD is 17 m and AD is 40m find the area of this field. side AB is perpendicular to the parallel sides AD and BC?.
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