English

The area of an equilateral triangle is 4sqrt(3) cm^2. Its perimeter is ______.

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Question

The area of an equilateral triangle is `4sqrt(3)` cm2. Its perimeter is ______.

Options

  • 9 cm

  • 12 cm

  • `12sqrt(3)` cm

  • `6sqrt(3)` cm

MCQ
Fill in the Blanks
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Solution

The area of an equilateral triangle is `4sqrt(3)` cm2. Its perimeter is 12 cm.

Explanation:

`sqrt(3)/4 xx a^2 = 4sqrt(3)  cm^2`

⇒ a2 = 16 cm

⇒  a = 4 cm

∴ Perimeter = 3a

= (3 × 4) cm

= 12 cm

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Chapter 15: Perimeter And Area of Plane Figures - MULTIPLE-CHOICE QUESTIONS (MCQ) [Page 697]

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R.S. Aggarwal Mathematics [English] Class 10
Chapter 15 Perimeter And Area of Plane Figures
MULTIPLE-CHOICE QUESTIONS (MCQ) | Q 11. | Page 697
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