The length of a rectangle is three times the breadth. If the minimum perimeter of the rectangle is 160 cm, then
Chapter 5: Linear Inequalities in the NCERT Maths textbook for Class 11 CBSE 2024-2025 focuses on solving and graphing inequalities in one and two variables. It covers their properties and real-life applications. MCQs are included to test understanding and enhance problem-solving skills. These questions emphasize inequality signs solution sets and interval notation. Mastering this chapter builds a strong algebraic foundation essential for advanced studies and competitive exams. It promotes logical thinking and precision making it a vital part of the Class 11 Maths curriculum.
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Choice (c) is correct.
Let x cm be the breadth of the rectangle.
Length of the rectangle = 3x cm
and perimeter of the rectangle = 2 ( length + breadth) = 2(3x + x) = 8x cm
Given, minimum perimeter = 160 cm
8x ≥ 160 ⇒ x ≥ 20
Hence, breadth ≥ 20 cm.
This question related to Chapter 5 maths Class 11th NCERT. From the Chapter 5: Linear Inequalities. Give answer according to your understanding.
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