UPSC Exam > UPSC Questions > If area and perimeter of a square is 120 m sq...
Start Learning for Free
If area and perimeter of a square is 120 m square and 46 m respectively then find diagonal?
Most Upvoted Answer
If area and perimeter of a square is 120 m square and 46 m respectivel...
Given Information:
- Area of the square = 120 m^2
- Perimeter of the square = 46 m
Calculating the Side Length of the Square:
- Let the side length of the square be 'a' meters.
- Area of the square = a^2
- Given that the area of the square is 120 m^2, we have: a^2 = 120
- So, the side length, a = √120
- Therefore, a = 10√3 m (as 120 = 10 * 12 = 10 * √3 * √3 = 10√3)
Calculating the Diagonal of the Square:
- In a square, the diagonal divides the square into two right-angled triangles.
- Diagonal (d) of a square can be calculated using the formula: d = a√2
- Substituting the value of 'a' as 10√3, we get: d = 10√3 * √2 = 10√6
- Therefore, the diagonal of the square is 10√6 meters.
Conclusion:
- The diagonal of the square with area 120 m^2 and perimeter 46 m is 10√6 meters.
Attention UPSC Students!
To make sure you are not studying endlessly, EduRev has designed UPSC study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in UPSC.
|
Explore Courses for UPSC exam
|
|
Similar UPSC Doubts
Top Courses for UPSCView all
If area and perimeter of a square is 120 m square and 46 m respectively then find diagonal?
Question Description
If area and perimeter of a square is 120 m square and 46 m respectively then find diagonal? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about If area and perimeter of a square is 120 m square and 46 m respectively then find diagonal? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If area and perimeter of a square is 120 m square and 46 m respectively then find diagonal?.
If area and perimeter of a square is 120 m square and 46 m respectively then find diagonal? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about If area and perimeter of a square is 120 m square and 46 m respectively then find diagonal? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If area and perimeter of a square is 120 m square and 46 m respectively then find diagonal?.
Solutions for If area and perimeter of a square is 120 m square and 46 m respectively then find diagonal? in English & in Hindi are available as part of our courses for UPSC.
Download more important topics, notes, lectures and mock test series for UPSC Exam by signing up for free.
Here you can find the meaning of If area and perimeter of a square is 120 m square and 46 m respectively then find diagonal? defined & explained in the simplest way possible. Besides giving the explanation of
If area and perimeter of a square is 120 m square and 46 m respectively then find diagonal?, a detailed solution for If area and perimeter of a square is 120 m square and 46 m respectively then find diagonal? has been provided alongside types of If area and perimeter of a square is 120 m square and 46 m respectively then find diagonal? theory, EduRev gives you an
ample number of questions to practice If area and perimeter of a square is 120 m square and 46 m respectively then find diagonal? tests, examples and also practice UPSC tests.
|
|
Explore Courses for UPSC exam
|
|
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