Banking Exams Exam  >  Banking Exams Questions  >  The length of a rectangle is twice the diamet... Start Learning for Free
The length of a rectangle is twice the diameter of a circle. The circumference of the circle is equal to the area of a square of side 22 cm. What is the breadth of the rectangle, if its perimeter is 668 cm? 
  • a)
    24 cm 
  • b)
    26 cm 
  • c)
    52 cm 
  • d)
    Cannot be determined 
  • e)
    None of these 
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
The length of a rectangle is twice the diameter of a circle. The circu...
View all questions of this test
Most Upvoted Answer
The length of a rectangle is twice the diameter of a circle. The circu...
Given information:
- The length of the rectangle is twice the diameter of the circle.
- The circumference of the circle is equal to the area of a square with a side length of 22 cm.
- The perimeter of the rectangle is 668 cm.

To find: The breadth of the rectangle.

Let's solve this step by step:

Step 1: Find the diameter of the circle
The circumference of the circle is equal to the perimeter of the square, which is 4 * side length.
So, the circumference of the circle = 4 * 22 = 88 cm.
The circumference of a circle is given by the formula: circumference = π * diameter.
Therefore, π * diameter = 88 cm.
Dividing both sides of the equation by π, we get: diameter = 88 / π cm.

Step 2: Find the length of the rectangle
The length of the rectangle is twice the diameter of the circle.
Therefore, length = 2 * diameter = 2 * (88 / π) cm.

Step 3: Find the breadth of the rectangle
The perimeter of the rectangle is given as 668 cm.
Perimeter of a rectangle = 2 * (length + breadth).
Substituting the values, we have: 668 = 2 * (2 * (88 / π) + breadth).
Simplifying the equation, we get: 668 = (176 / π) + 2 * breadth.
Rearranging the equation, we have: 2 * breadth = 668 - (176 / π).
Dividing both sides by 2, we get: breadth = (668 - (176 / π)) / 2.

Calculating the value of breadth using a calculator, we find:
breadth ≈ 26 cm.

Therefore, the breadth of the rectangle is approximately 26 cm, which is option B.
Explore Courses for Banking Exams exam
The length of a rectangle is twice the diameter of a circle. The circumference of the circle is equal to the area of a square of side 22 cm. What is the breadth of the rectangle, if its perimeter is 668 cm?a)24 cmb)26 cmc)52 cmd)Cannot be determinede)None of theseCorrect answer is option 'B'. Can you explain this answer?
Question Description
The length of a rectangle is twice the diameter of a circle. The circumference of the circle is equal to the area of a square of side 22 cm. What is the breadth of the rectangle, if its perimeter is 668 cm?a)24 cmb)26 cmc)52 cmd)Cannot be determinede)None of theseCorrect answer is option 'B'. Can you explain this answer? for Banking Exams 2025 is part of Banking Exams preparation. The Question and answers have been prepared according to the Banking Exams exam syllabus. Information about The length of a rectangle is twice the diameter of a circle. The circumference of the circle is equal to the area of a square of side 22 cm. What is the breadth of the rectangle, if its perimeter is 668 cm?a)24 cmb)26 cmc)52 cmd)Cannot be determinede)None of theseCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Banking Exams 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The length of a rectangle is twice the diameter of a circle. The circumference of the circle is equal to the area of a square of side 22 cm. What is the breadth of the rectangle, if its perimeter is 668 cm?a)24 cmb)26 cmc)52 cmd)Cannot be determinede)None of theseCorrect answer is option 'B'. Can you explain this answer?.
Solutions for The length of a rectangle is twice the diameter of a circle. The circumference of the circle is equal to the area of a square of side 22 cm. What is the breadth of the rectangle, if its perimeter is 668 cm?a)24 cmb)26 cmc)52 cmd)Cannot be determinede)None of theseCorrect answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for Banking Exams. Download more important topics, notes, lectures and mock test series for Banking Exams Exam by signing up for free.
Here you can find the meaning of The length of a rectangle is twice the diameter of a circle. The circumference of the circle is equal to the area of a square of side 22 cm. What is the breadth of the rectangle, if its perimeter is 668 cm?a)24 cmb)26 cmc)52 cmd)Cannot be determinede)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 length of a rectangle is twice the diameter of a circle. The circumference of the circle is equal to the area of a square of side 22 cm. What is the breadth of the rectangle, if its perimeter is 668 cm?a)24 cmb)26 cmc)52 cmd)Cannot be determinede)None of theseCorrect answer is option 'B'. Can you explain this answer?, a detailed solution for The length of a rectangle is twice the diameter of a circle. The circumference of the circle is equal to the area of a square of side 22 cm. What is the breadth of the rectangle, if its perimeter is 668 cm?a)24 cmb)26 cmc)52 cmd)Cannot be determinede)None of theseCorrect answer is option 'B'. Can you explain this answer? has been provided alongside types of The length of a rectangle is twice the diameter of a circle. The circumference of the circle is equal to the area of a square of side 22 cm. What is the breadth of the rectangle, if its perimeter is 668 cm?a)24 cmb)26 cmc)52 cmd)Cannot be determinede)None of theseCorrect answer is option 'B'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice The length of a rectangle is twice the diameter of a circle. The circumference of the circle is equal to the area of a square of side 22 cm. What is the breadth of the rectangle, if its perimeter is 668 cm?a)24 cmb)26 cmc)52 cmd)Cannot be determinede)None of theseCorrect answer is option 'B'. Can you explain this answer? tests, examples and also practice Banking Exams tests.
Explore Courses for Banking Exams exam

Top Courses for Banking Exams

Explore Courses
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev