The area of a rectangle is 242 square units, and its length is twice its breadth. What is the breadth of the rectangle?
Answer and explanation
Correct answer: 11
Let the breadth be \(x\) units. Then the length is \(2x\) units. Using area, \(x\times 2x=242\), so \(2x^2=242\), giving \(x^2=121\) and \(x=\pm 11\). Since length and breadth must be positive, the breadth is \(11\) units. The value \(22\) represents the length, not the breadth. Exam tip: reject the negative root when solving measurement problems.
Frequently asked questions
What is the correct answer to this question?
11
Why is this the correct answer?
Let the breadth be \(x\) units. Then the length is \(2x\) units. Using area, \(x\times 2x=242\), so \(2x^2=242\), giving \(x^2=121\) and \(x=\pm 11\). Since length and breadth must be positive, the breadth is \(11\) units. The value \(22\) represents the length, not the breadth. Exam tip: reject the negative root when solving measurement problems.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Quadratic Equations. Topic: Word Problems and Applications.
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