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The perimeter of a trapezium is 104 cm, the lengths of its non-parallel sides are 18 cm and 22 cm, and its altitude is 16 cm . The area (in cm2) of the trapezium is
- a)1024
- b)125
- c)512
- d)702
Correct answer is option 'C'. Can you explain this answer?
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The formula for the area of a trapezium:
The area (A) of a trapezium is given by the formula:
A = (1/2) * (a + b) * h
where 'a' and 'b' are the lengths of the parallel sides (bases) of the trapezium, and 'h' is the altitude (height) of the trapezium.
Given information:
Perimeter = 104 cm
Non-parallel sides: 18 cm and 22 cm
Altitude = 16 cm
Finding the lengths of the parallel sides (bases):
Let the lengths of the parallel sides be 'x' and 'y'.
Since the perimeter of the trapezium is given by the sum of all its sides, we have:
x + 18 + y + 22 = 104
Simplifying the equation:
x + y = 64
Using the area formula to find the area:
Substituting the given values into the area formula, we have:
A = (1/2) * (x + y) * 16
Since we know that x + y = 64, we can substitute it into the formula:
A = (1/2) * 64 * 16
Simplifying the equation:
A = 512 cm^2
Therefore, the area of the trapezium is 512 cm^2, which corresponds to option 'C'.
The area (A) of a trapezium is given by the formula:
A = (1/2) * (a + b) * h
where 'a' and 'b' are the lengths of the parallel sides (bases) of the trapezium, and 'h' is the altitude (height) of the trapezium.
Given information:
Perimeter = 104 cm
Non-parallel sides: 18 cm and 22 cm
Altitude = 16 cm
Finding the lengths of the parallel sides (bases):
Let the lengths of the parallel sides be 'x' and 'y'.
Since the perimeter of the trapezium is given by the sum of all its sides, we have:
x + 18 + y + 22 = 104
Simplifying the equation:
x + y = 64
Using the area formula to find the area:
Substituting the given values into the area formula, we have:
A = (1/2) * (x + y) * 16
Since we know that x + y = 64, we can substitute it into the formula:
A = (1/2) * 64 * 16
Simplifying the equation:
A = 512 cm^2
Therefore, the area of the trapezium is 512 cm^2, which corresponds to option 'C'.
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The perimeter of a trapezium is 104 cm, the lengths of its non-parallel sides are 18 cm and 22 cm, and its altitude is 16 cm . The area (in cm2)of the trapezium isa)1024b)125c)512d)702Correct answer is option 'C'. Can you explain this answer?
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The perimeter of a trapezium is 104 cm, the lengths of its non-parallel sides are 18 cm and 22 cm, and its altitude is 16 cm . The area (in cm2)of the trapezium isa)1024b)125c)512d)702Correct answer is option 'C'. Can you explain this answer? for Teaching 2024 is part of Teaching preparation. The Question and answers have been prepared according to the Teaching exam syllabus. Information about The perimeter of a trapezium is 104 cm, the lengths of its non-parallel sides are 18 cm and 22 cm, and its altitude is 16 cm . The area (in cm2)of the trapezium isa)1024b)125c)512d)702Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Teaching 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The perimeter of a trapezium is 104 cm, the lengths of its non-parallel sides are 18 cm and 22 cm, and its altitude is 16 cm . The area (in cm2)of the trapezium isa)1024b)125c)512d)702Correct answer is option 'C'. Can you explain this answer?.
The perimeter of a trapezium is 104 cm, the lengths of its non-parallel sides are 18 cm and 22 cm, and its altitude is 16 cm . The area (in cm2)of the trapezium isa)1024b)125c)512d)702Correct answer is option 'C'. Can you explain this answer? for Teaching 2024 is part of Teaching preparation. The Question and answers have been prepared according to the Teaching exam syllabus. Information about The perimeter of a trapezium is 104 cm, the lengths of its non-parallel sides are 18 cm and 22 cm, and its altitude is 16 cm . The area (in cm2)of the trapezium isa)1024b)125c)512d)702Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Teaching 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The perimeter of a trapezium is 104 cm, the lengths of its non-parallel sides are 18 cm and 22 cm, and its altitude is 16 cm . The area (in cm2)of the trapezium isa)1024b)125c)512d)702Correct answer is option 'C'. Can you explain this answer?.
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