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The length of a rectangle is 4 cm more than its breadth. If the area of the rectangle is 96 cm^2, then the perimeter of the rectangle is ______.

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Question

The length of a rectangle is 4 cm more than its breadth. If the area of the rectangle is 96 cm2, then the perimeter of the rectangle is ______.

Options

  • 36 cm

  • 40 cm

  • 44 cm

  • 48 cm

MCQ
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Solution

The length of a rectangle is 4 cm more than its breadth. If the area of the rectangle is 96 cm2, then the perimeter of the rectangle is 40 cm.

Explanation:

The dimensions are 8 cm and 12 cm, since their difference is 4 cm and their product is 96 cm2. The perimeter is 2(8 + 12) = 40 cm; the other values do not match these dimensions.

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Chapter 6: Problems on Quadratic Equations - COMPETENCY-FOCUSED QUESTIONS [Page 83]

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R.S. Aggarwal Mathematics [English] Class 10 ICSE
Chapter 6 Problems on Quadratic Equations
COMPETENCY-FOCUSED QUESTIONS | Q 5. | Page 83
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