CAT Exam > CAT Questions > The area of a square is 1521 sq. m. The brea...
Start Learning for Free
The area of a square is 1521 sq. m. The breadth of a rectangle is ⅓ times the side of the square and the length of the rectangle is twice the breadth. What is the difference between the areas of the square and the rectangle?
- a)1183 m2
- b)1300 m2
- c)1365.3 m2
- d)1452 m2
Correct answer is option 'A'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Most Upvoted Answer
The area of a square is 1521 sq. m. The breadth of a rectangle is ⅓ t...
Area of the square = 1521 sq. m
∴ Side of the square = 
Breadth of the rectangle 
Length of the rectangle = 2 × 13 m
Area of the rectangle
Now, difference between the areas of the square and the rectangle = 1521 - 338 = 1183 m2
∴ The difference between the areas of the square and the rectangle is 1183 m2.
Free Test
FREE
| Start Free Test |
Community Answer
The area of a square is 1521 sq. m. The breadth of a rectangle is ⅓ t...
Given information:
- The area of a square is 1521 sq. m.
- The breadth of a rectangle is ⅓ times the side of the square.
- The length of the rectangle is twice the breadth.
To find:
The difference between the areas of the square and the rectangle.
Solution:
Step 1: Find the side length of the square
Let the side length of the square be 's'.
Given, the area of the square is 1521 sq. m.
So, s^2 = 1521
Solving for 's', we get s = √1521 = 39 m.
Step 2: Find the breadth of the rectangle
The breadth of the rectangle is ⅓ times the side of the square.
So, breadth = (1/3) * 39 = 13 m.
Step 3: Find the length of the rectangle
The length of the rectangle is twice the breadth.
So, length = 2 * 13 = 26 m.
Step 4: Find the area of the square
The area of the square is s^2 = 39^2 = 1521 sq. m.
Step 5: Find the area of the rectangle
The area of the rectangle is length * breadth = 26 * 13 = 338 sq. m.
Step 6: Find the difference between the areas of the square and the rectangle
Difference = Area of square - Area of rectangle = 1521 - 338 = 1183 sq. m.
Therefore, the difference between the areas of the square and the rectangle is 1183 sq. m. (Option A).
- The area of a square is 1521 sq. m.
- The breadth of a rectangle is ⅓ times the side of the square.
- The length of the rectangle is twice the breadth.
To find:
The difference between the areas of the square and the rectangle.
Solution:
Step 1: Find the side length of the square
Let the side length of the square be 's'.
Given, the area of the square is 1521 sq. m.
So, s^2 = 1521
Solving for 's', we get s = √1521 = 39 m.
Step 2: Find the breadth of the rectangle
The breadth of the rectangle is ⅓ times the side of the square.
So, breadth = (1/3) * 39 = 13 m.
Step 3: Find the length of the rectangle
The length of the rectangle is twice the breadth.
So, length = 2 * 13 = 26 m.
Step 4: Find the area of the square
The area of the square is s^2 = 39^2 = 1521 sq. m.
Step 5: Find the area of the rectangle
The area of the rectangle is length * breadth = 26 * 13 = 338 sq. m.
Step 6: Find the difference between the areas of the square and the rectangle
Difference = Area of square - Area of rectangle = 1521 - 338 = 1183 sq. m.
Therefore, the difference between the areas of the square and the rectangle is 1183 sq. m. (Option A).
Attention CAT Students!
To make sure you are not studying endlessly, EduRev has designed CAT study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in CAT.
|
Explore Courses for CAT exam
|
|
Top Courses for CATView all
The area of a square is 1521 sq. m. The breadth of a rectangle is ⅓ times the side of the square and the length of the rectangle is twice the breadth. What is the difference between the areas of the square and the rectangle?a)1183 m2b)1300 m2c)1365.3 m2d)1452 m2Correct answer is option 'A'. Can you explain this answer?
Question Description
The area of a square is 1521 sq. m. The breadth of a rectangle is ⅓ times the side of the square and the length of the rectangle is twice the breadth. What is the difference between the areas of the square and the rectangle?a)1183 m2b)1300 m2c)1365.3 m2d)1452 m2Correct answer is option 'A'. Can you explain this answer? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about The area of a square is 1521 sq. m. The breadth of a rectangle is ⅓ times the side of the square and the length of the rectangle is twice the breadth. What is the difference between the areas of the square and the rectangle?a)1183 m2b)1300 m2c)1365.3 m2d)1452 m2Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The area of a square is 1521 sq. m. The breadth of a rectangle is ⅓ times the side of the square and the length of the rectangle is twice the breadth. What is the difference between the areas of the square and the rectangle?a)1183 m2b)1300 m2c)1365.3 m2d)1452 m2Correct answer is option 'A'. Can you explain this answer?.
The area of a square is 1521 sq. m. The breadth of a rectangle is ⅓ times the side of the square and the length of the rectangle is twice the breadth. What is the difference between the areas of the square and the rectangle?a)1183 m2b)1300 m2c)1365.3 m2d)1452 m2Correct answer is option 'A'. Can you explain this answer? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about The area of a square is 1521 sq. m. The breadth of a rectangle is ⅓ times the side of the square and the length of the rectangle is twice the breadth. What is the difference between the areas of the square and the rectangle?a)1183 m2b)1300 m2c)1365.3 m2d)1452 m2Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The area of a square is 1521 sq. m. The breadth of a rectangle is ⅓ times the side of the square and the length of the rectangle is twice the breadth. What is the difference between the areas of the square and the rectangle?a)1183 m2b)1300 m2c)1365.3 m2d)1452 m2Correct answer is option 'A'. Can you explain this answer?.
Solutions for The area of a square is 1521 sq. m. The breadth of a rectangle is ⅓ times the side of the square and the length of the rectangle is twice the breadth. What is the difference between the areas of the square and the rectangle?a)1183 m2b)1300 m2c)1365.3 m2d)1452 m2Correct answer is option 'A'. Can you explain this answer? in English & in Hindi are available as part of our courses for CAT.
Download more important topics, notes, lectures and mock test series for CAT Exam by signing up for free.
Here you can find the meaning of The area of a square is 1521 sq. m. The breadth of a rectangle is ⅓ times the side of the square and the length of the rectangle is twice the breadth. What is the difference between the areas of the square and the rectangle?a)1183 m2b)1300 m2c)1365.3 m2d)1452 m2Correct answer is option 'A'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
The area of a square is 1521 sq. m. The breadth of a rectangle is ⅓ times the side of the square and the length of the rectangle is twice the breadth. What is the difference between the areas of the square and the rectangle?a)1183 m2b)1300 m2c)1365.3 m2d)1452 m2Correct answer is option 'A'. Can you explain this answer?, a detailed solution for The area of a square is 1521 sq. m. The breadth of a rectangle is ⅓ times the side of the square and the length of the rectangle is twice the breadth. What is the difference between the areas of the square and the rectangle?a)1183 m2b)1300 m2c)1365.3 m2d)1452 m2Correct answer is option 'A'. Can you explain this answer? has been provided alongside types of The area of a square is 1521 sq. m. The breadth of a rectangle is ⅓ times the side of the square and the length of the rectangle is twice the breadth. What is the difference between the areas of the square and the rectangle?a)1183 m2b)1300 m2c)1365.3 m2d)1452 m2Correct answer is option 'A'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice The area of a square is 1521 sq. m. The breadth of a rectangle is ⅓ times the side of the square and the length of the rectangle is twice the breadth. What is the difference between the areas of the square and the rectangle?a)1183 m2b)1300 m2c)1365.3 m2d)1452 m2Correct answer is option 'A'. Can you explain this answer? tests, examples and also practice CAT tests.
|
|
Explore Courses for CAT 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