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Answer:

The perimeter would be  6x + 12

Step-by-step explanation:

The perimeter of a triangle is the sum of all its sides.

The measures of the sides of the given triangle are:-

3x + 2, x + 6 and 2x + 4

So, to find perimeter add these values together:-

3x + 2 + x + 6 + 2x + 4

Bring all the 'x' terms together first and then the other numbers so we can add them:-

3x + 2x + x + 2 +  6  + 4

6x + 12

The perimeter of the triangle would be 6x + 12

Given:-

AB = [tex]x[/tex] + 6

BC = 2 [tex]x[/tex] + 4

AC = 3 [tex]x[/tex] + 2

To find:-

The perimeter of the triangle.

Solution:-

[tex]{\boxed{\mathcal{\red{The\: perimeter \:of\:the\:triangle\:is\: 6x\:+\:12.\:✅}}}}[/tex]

Step-by-step explanation:-

We know that,

[tex]\sf\pink{Perimeter\:of\:a\:triangle\:=\:Sum\: of\: all \:three\: sides}[/tex]

[tex] = AB + BC + AC \\ = x + 6 + 2x + 4 + 3x + 2 \\ = 6x + 12[/tex]

[tex]\sf\red{Therefore, \:the\: perimeter\:of \:the\:triangle\: is \:6x\:+\:12.}[/tex]

[tex]\bold{ \green{ \star{ \orange{Hope\:it\:helps.}}}}⋆[/tex]

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