The perimeter of an equilateral triangle is $2 x + 3 + 3 x - 4 + 4 x - 11$ . Which of the following is the length of each side of the triangle?

2 x - 3

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3 x + 4

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3 x - 4

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4 x + 3

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Solution

The correct option is C $3 x - 4$
Perimeter $= 2 x + 3 + 3 x - 4 + 4 x - 11$

$= (2 x + 3 x + 4 x) + (3 - 4 - 11)$ [Associative property]

$= 9 x + (- 12)$

$= 9 x - 12$

$3 \times Length of each side = Perimeter of equilateral triangle$

$3 \times Length of each side = 9 x - 12$

Length of each side $= \frac{9 x - 12}{3} = \frac{3 (3 x - 4)}{3} = 3 x - 4$

Thus, the length of each side of the equilateral triangle is $3 x - 4$ .

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