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The parallel sides of a trapezium are 25 cm and 11 cm and its non-parallel sides are 15 cm and 13 cm. What is the area of trapezium?
- a)216 cm2
- b)242 cm2
- c)226 cm2
- d)256 cm2
Correct answer is option 'A'. Can you explain this answer?
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Verified Answer
The parallel sides of a trapezium are 25 cm and 11 cm and its non-para...
Here MC = AD = 15 cm
AM = DC = 11 cm
AM = DC = 11 cm
Most Upvoted Answer
The parallel sides of a trapezium are 25 cm and 11 cm and its non-para...
To find the area of a trapezium, we can use the formula:
Area = (1/2) * (a + b) * h
where a and b are the lengths of the parallel sides and h is the height or the perpendicular distance between the parallel sides.
Given that the parallel sides of the trapezium are 25 cm and 11 cm, and the non-parallel sides are 15 cm and 13 cm, we need to find the height.
The height can be found using the Pythagorean theorem, as the non-parallel sides and the height form a right-angled triangle.
Using the Pythagorean theorem:
h^2 = (15 - 13)^2 + (25 - 11)^2
h^2 = 2^2 + 14^2
h^2 = 4 + 196
h^2 = 200
h = √200
h = 10√2 cm
Now, we can substitute the values in the formula to find the area:
Area = (1/2) * (25 + 11) * 10√2
Area = (1/2) * 36 * 10√2
Area = 18 * 10√2
Area = 180√2 cm^2
To simplify the answer, we can approximate the value of √2:
√2 ≈ 1.414
Area ≈ 180 * 1.414
Area ≈ 254.52 cm^2
Since the options provided are in whole numbers, we can round the answer to the nearest whole number:
Area ≈ 255 cm^2
The closest option to this rounded answer is option A, 216 cm^2. However, it seems there is an error in the options provided, as the correct area is approximately 255 cm^2, not 216 cm^2.
Area = (1/2) * (a + b) * h
where a and b are the lengths of the parallel sides and h is the height or the perpendicular distance between the parallel sides.
Given that the parallel sides of the trapezium are 25 cm and 11 cm, and the non-parallel sides are 15 cm and 13 cm, we need to find the height.
The height can be found using the Pythagorean theorem, as the non-parallel sides and the height form a right-angled triangle.
Using the Pythagorean theorem:
h^2 = (15 - 13)^2 + (25 - 11)^2
h^2 = 2^2 + 14^2
h^2 = 4 + 196
h^2 = 200
h = √200
h = 10√2 cm
Now, we can substitute the values in the formula to find the area:
Area = (1/2) * (25 + 11) * 10√2
Area = (1/2) * 36 * 10√2
Area = 18 * 10√2
Area = 180√2 cm^2
To simplify the answer, we can approximate the value of √2:
√2 ≈ 1.414
Area ≈ 180 * 1.414
Area ≈ 254.52 cm^2
Since the options provided are in whole numbers, we can round the answer to the nearest whole number:
Area ≈ 255 cm^2
The closest option to this rounded answer is option A, 216 cm^2. However, it seems there is an error in the options provided, as the correct area is approximately 255 cm^2, not 216 cm^2.
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The parallel sides of a trapezium are 25 cm and 11 cm and its non-parallel sides are 15 cm and 13 cm. What is the area of trapezium?a)216 cm2b)242 cm2c)226 cm2d)256 cm2Correct answer is option 'A'. Can you explain this answer?
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The parallel sides of a trapezium are 25 cm and 11 cm and its non-parallel sides are 15 cm and 13 cm. What is the area of trapezium?a)216 cm2b)242 cm2c)226 cm2d)256 cm2Correct answer is option 'A'. Can you explain this answer? for Class 8 2024 is part of Class 8 preparation. The Question and answers have been prepared according to the Class 8 exam syllabus. Information about The parallel sides of a trapezium are 25 cm and 11 cm and its non-parallel sides are 15 cm and 13 cm. What is the area of trapezium?a)216 cm2b)242 cm2c)226 cm2d)256 cm2Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Class 8 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The parallel sides of a trapezium are 25 cm and 11 cm and its non-parallel sides are 15 cm and 13 cm. What is the area of trapezium?a)216 cm2b)242 cm2c)226 cm2d)256 cm2Correct answer is option 'A'. Can you explain this answer?.
The parallel sides of a trapezium are 25 cm and 11 cm and its non-parallel sides are 15 cm and 13 cm. What is the area of trapezium?a)216 cm2b)242 cm2c)226 cm2d)256 cm2Correct answer is option 'A'. Can you explain this answer? for Class 8 2024 is part of Class 8 preparation. The Question and answers have been prepared according to the Class 8 exam syllabus. Information about The parallel sides of a trapezium are 25 cm and 11 cm and its non-parallel sides are 15 cm and 13 cm. What is the area of trapezium?a)216 cm2b)242 cm2c)226 cm2d)256 cm2Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Class 8 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The parallel sides of a trapezium are 25 cm and 11 cm and its non-parallel sides are 15 cm and 13 cm. What is the area of trapezium?a)216 cm2b)242 cm2c)226 cm2d)256 cm2Correct answer is option 'A'. Can you explain this answer?.
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