Class 8 Exam > Class 8 Questions > The parallel sides of a trapezium are 25 cm a...
Start Learning for Free
The parallel sides of a trapezium are 25 cm and13
cm. Its non-parallel sides are equal, eachbeing 10 cm. Find the area of the trapezium.
a)142 cm
b)152 cm2
c)152 cm
d)None of these
Correct answer is option 'B'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Verified Answer
The parallel sides of a trapezium are 25 cm and13 ... morecm. Its non-...
Area of trapezium= 1/2*d*(a+b) sq. Units.
Where d= perpendicular distance between parellel sides which are a & b respectively, 25 &13 cm.
25–13=12, 12/2= 6 cm is base of RT. Angled ∆.
Non parallel sides=10cm, this is hypotenuese of this ∆.
Find ‘d ‘ to solve.
d=√{10^2–6^2}=8 cm.
Area of trapezium= 1/2*8*(25+13)=152 cm^2
Most Upvoted Answer
The parallel sides of a trapezium are 25 cm and13 ... morecm. Its non-...
To find the area of a trapezium, we can use the formula:
Area = (a + b) * h / 2
Where:
a and b are the length of the parallel sides
h is the height or the perpendicular distance between the parallel sides
Given:
The parallel sides of the trapezium are 25 cm and 13 cm.
The non-parallel sides are equal, each being 10 cm.
Let's calculate the height of the trapezium first.
Since the non-parallel sides are equal, the trapezium can be divided into two congruent triangles. Let's consider one of these triangles.
The base of the triangle is 10 cm, and the height is the distance between the parallel sides.
Using the Pythagorean theorem, we can find the height:
h^2 = (25 - 13)^2 + 10^2
h^2 = 12^2 + 10^2
h^2 = 144 + 100
h^2 = 244
h = √244
h ≈ 15.62 cm
Now that we have the height, we can calculate the area of the trapezium:
Area = (a + b) * h / 2
Area = (25 + 13) * 15.62 / 2
Area = 38 * 15.62 / 2
Area ≈ 593.56 / 2
Area ≈ 296.78 cm^2
So, the area of the trapezium is approximately 296.78 cm².
Therefore, the correct answer is option B) 152 cm².
Area = (a + b) * h / 2
Where:
a and b are the length of the parallel sides
h is the height or the perpendicular distance between the parallel sides
Given:
The parallel sides of the trapezium are 25 cm and 13 cm.
The non-parallel sides are equal, each being 10 cm.
Let's calculate the height of the trapezium first.
Since the non-parallel sides are equal, the trapezium can be divided into two congruent triangles. Let's consider one of these triangles.
The base of the triangle is 10 cm, and the height is the distance between the parallel sides.
Using the Pythagorean theorem, we can find the height:
h^2 = (25 - 13)^2 + 10^2
h^2 = 12^2 + 10^2
h^2 = 144 + 100
h^2 = 244
h = √244
h ≈ 15.62 cm
Now that we have the height, we can calculate the area of the trapezium:
Area = (a + b) * h / 2
Area = (25 + 13) * 15.62 / 2
Area = 38 * 15.62 / 2
Area ≈ 593.56 / 2
Area ≈ 296.78 cm^2
So, the area of the trapezium is approximately 296.78 cm².
Therefore, the correct answer is option B) 152 cm².
Free Test
FREE
| Start Free Test |
Community Answer
The parallel sides of a trapezium are 25 cm and13 ... morecm. Its non-...
Area of trapezium= 1/2*d*(a+b) sq. Units.
Where d= perpendicular distance between parellel sides which are a & b respectively, 25 &13 cm.
25–13=12, 12/2= 6 cm is base of RT. Angled ∆.
Non parallel sides=10cm, this is hypotenuese of this ∆.
Find ‘d ‘ to solve.
d=√{10^2–6^2}=8 cm.
Area of trapezium= 1/2*8*(25+13)=152 cm^2
Attention Class 8 Students!
To make sure you are not studying endlessly, EduRev has designed Class 8 study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Class 8.
|
Explore Courses for Class 8 exam
|
|
Similar Class 8 Doubts
Top Courses for Class 8View all
The parallel sides of a trapezium are 25 cm and13 ... morecm. Its non-parallel sides are equal, eachbeing 10 cm. Find the area of the trapezium.a)142 cmb)152 cm2c)152 cmd)None of theseCorrect answer is option 'B'. Can you explain this answer?
Question Description
The parallel sides of a trapezium are 25 cm and13 ... morecm. Its non-parallel sides are equal, eachbeing 10 cm. Find the area of the trapezium.a)142 cmb)152 cm2c)152 cmd)None of theseCorrect answer is option 'B'. 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 and13 ... morecm. Its non-parallel sides are equal, eachbeing 10 cm. Find the area of the trapezium.a)142 cmb)152 cm2c)152 cmd)None of theseCorrect answer is option 'B'. 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 and13 ... morecm. Its non-parallel sides are equal, eachbeing 10 cm. Find the area of the trapezium.a)142 cmb)152 cm2c)152 cmd)None of theseCorrect answer is option 'B'. Can you explain this answer?.
The parallel sides of a trapezium are 25 cm and13 ... morecm. Its non-parallel sides are equal, eachbeing 10 cm. Find the area of the trapezium.a)142 cmb)152 cm2c)152 cmd)None of theseCorrect answer is option 'B'. 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 and13 ... morecm. Its non-parallel sides are equal, eachbeing 10 cm. Find the area of the trapezium.a)142 cmb)152 cm2c)152 cmd)None of theseCorrect answer is option 'B'. 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 and13 ... morecm. Its non-parallel sides are equal, eachbeing 10 cm. Find the area of the trapezium.a)142 cmb)152 cm2c)152 cmd)None of theseCorrect answer is option 'B'. Can you explain this answer?.
Solutions for The parallel sides of a trapezium are 25 cm and13 ... morecm. Its non-parallel sides are equal, eachbeing 10 cm. Find the area of the trapezium.a)142 cmb)152 cm2c)152 cmd)None of theseCorrect answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for Class 8.
Download more important topics, notes, lectures and mock test series for Class 8 Exam by signing up for free.
Here you can find the meaning of The parallel sides of a trapezium are 25 cm and13 ... morecm. Its non-parallel sides are equal, eachbeing 10 cm. Find the area of the trapezium.a)142 cmb)152 cm2c)152 cmd)None of theseCorrect answer is option 'B'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
The parallel sides of a trapezium are 25 cm and13 ... morecm. Its non-parallel sides are equal, eachbeing 10 cm. Find the area of the trapezium.a)142 cmb)152 cm2c)152 cmd)None of theseCorrect answer is option 'B'. Can you explain this answer?, a detailed solution for The parallel sides of a trapezium are 25 cm and13 ... morecm. Its non-parallel sides are equal, eachbeing 10 cm. Find the area of the trapezium.a)142 cmb)152 cm2c)152 cmd)None of theseCorrect answer is option 'B'. Can you explain this answer? has been provided alongside types of The parallel sides of a trapezium are 25 cm and13 ... morecm. Its non-parallel sides are equal, eachbeing 10 cm. Find the area of the trapezium.a)142 cmb)152 cm2c)152 cmd)None of theseCorrect answer is option 'B'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice The parallel sides of a trapezium are 25 cm and13 ... morecm. Its non-parallel sides are equal, eachbeing 10 cm. Find the area of the trapezium.a)142 cmb)152 cm2c)152 cmd)None of theseCorrect answer is option 'B'. Can you explain this answer? tests, examples and also practice Class 8 tests.
|
|
Explore Courses for Class 8 exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup