The sum of the length and breadth of a rectangle is (28) and the length is (6) more than the breadth. What is the breadth?
Answer and explanation
Correct answer: 11
Let the length be \(l\) and the breadth be \(b\). The statements give \(l+b=28\) and \(l-b=6\). Subtracting the second equation from the first gives \(2b=22\), so \(b=11\). Hence, 11 is the correct answer. If the breadth were 12, the length would be 18 and their sum would be 30, not 28. Exam tip: For sum-and-difference word problems, first form separate equations for the sum and the difference.
Frequently asked questions
What is the correct answer to this question?
11
Why is this the correct answer?
Let the length be \(l\) and the breadth be \(b\). The statements give \(l+b=28\) and \(l-b=6\). Subtracting the second equation from the first gives \(2b=22\), so \(b=11\). Hence, 11 is the correct answer. If the breadth were 12, the length would be 18 and their sum would be 30, not 28. Exam tip: For sum-and-difference word problems, first form separate equations for the sum and the difference.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Pair of Linear Equations in Two Variables. Topic: Algebraic methods: Substitution method and Elimination method..
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