Class 8 Exam > Class 8 Questions > The area of rectangle whose length is thrice ...
Start Learning for Free
The area of rectangle whose length is thrice its breadth is 1323 m² find the perimeter of the field?
Most Upvoted Answer
The area of rectangle whose length is thrice its breadth is 1323 m² fi...
Understanding the Problem
To solve the problem, we need to find the dimensions of the rectangle and then calculate its perimeter. The area of the rectangle is given as 1323 m², and the relationship between length and breadth is also provided.
Step 1: Define Dimensions
- Let the breadth of the rectangle be represented as 'b'.
- According to the problem, the length 'l' is three times the breadth:
l = 3b
Step 2: Area of Rectangle
- The formula for the area of a rectangle is:
Area = Length × Breadth
Substituting the values, we have:
1323 = l × b
1323 = (3b) × b
1323 = 3b²
Step 3: Solve for Breadth
- Rearranging gives:
b² = 1323 / 3
b² = 441
b = √441
b = 21 m
Step 4: Find Length
- Now, substituting back to find the length:
l = 3b
l = 3 × 21
l = 63 m
Step 5: Calculate Perimeter
- The formula for the perimeter (P) of a rectangle is:
P = 2 × (Length + Breadth)
P = 2 × (63 + 21)
P = 2 × 84
P = 168 m
Final Answer
The perimeter of the rectangle is 168 meters.
To solve the problem, we need to find the dimensions of the rectangle and then calculate its perimeter. The area of the rectangle is given as 1323 m², and the relationship between length and breadth is also provided.
Step 1: Define Dimensions
- Let the breadth of the rectangle be represented as 'b'.
- According to the problem, the length 'l' is three times the breadth:
l = 3b
Step 2: Area of Rectangle
- The formula for the area of a rectangle is:
Area = Length × Breadth
Substituting the values, we have:
1323 = l × b
1323 = (3b) × b
1323 = 3b²
Step 3: Solve for Breadth
- Rearranging gives:
b² = 1323 / 3
b² = 441
b = √441
b = 21 m
Step 4: Find Length
- Now, substituting back to find the length:
l = 3b
l = 3 × 21
l = 63 m
Step 5: Calculate Perimeter
- The formula for the perimeter (P) of a rectangle is:
P = 2 × (Length + Breadth)
P = 2 × (63 + 21)
P = 2 × 84
P = 168 m
Final Answer
The perimeter of the rectangle is 168 meters.
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 area of rectangle whose length is thrice its breadth is 1323 m² find the perimeter of the field?
Question Description
The area of rectangle whose length is thrice its breadth is 1323 m² find the perimeter of the field? 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 area of rectangle whose length is thrice its breadth is 1323 m² find the perimeter of the field? covers all topics & solutions for Class 8 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The area of rectangle whose length is thrice its breadth is 1323 m² find the perimeter of the field?.
The area of rectangle whose length is thrice its breadth is 1323 m² find the perimeter of the field? 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 area of rectangle whose length is thrice its breadth is 1323 m² find the perimeter of the field? covers all topics & solutions for Class 8 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The area of rectangle whose length is thrice its breadth is 1323 m² find the perimeter of the field?.
Solutions for The area of rectangle whose length is thrice its breadth is 1323 m² find the perimeter of the field? 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 area of rectangle whose length is thrice its breadth is 1323 m² find the perimeter of the field? defined & explained in the simplest way possible. Besides giving the explanation of
The area of rectangle whose length is thrice its breadth is 1323 m² find the perimeter of the field?, a detailed solution for The area of rectangle whose length is thrice its breadth is 1323 m² find the perimeter of the field? has been provided alongside types of The area of rectangle whose length is thrice its breadth is 1323 m² find the perimeter of the field? theory, EduRev gives you an
ample number of questions to practice The area of rectangle whose length is thrice its breadth is 1323 m² find the perimeter of the field? 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