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The length of a rectangle is three times the breadth. If the minimum perimeter of the rectangle is 160 cm, then ______. - Mathematics

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Question

The length of a rectangle is three times the breadth. If the minimum perimeter of the rectangle is 160 cm, then ______.

Options

  • Breadth > 20 cm

  • Length < 20 cm

  • Breadth x ≥ 20 cm

  • Length ≤ 20 cm

MCQ
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Solution

The length of a rectangle is three times the breadth. If the minimum perimeter of the rectangle is 160 cm, then breadth x ≥ 20 cm.

Explanation:

Breadth x ≥ 20 cm is the correct choice. If x cm is the breadth, then 2(3x + x) ≥ 160 ⇒ x ≥ 20.

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Chapter 6: Linear Inequalities - Solved Examples [Page 105]

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NCERT Exemplar Mathematics [English] Class 11
Chapter 6 Linear Inequalities
Solved Examples | Q 11 | Page 105
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