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What is the perimeter of a triangle whose sides measures (3x+y) cm, (9x–2y) cm, and (2x – 5y) cm?

A. (14x + 6y) cm
B. (14x – 6y) cm
C. (14x + 8y) cm
D. (14x – 8y)cm

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✒ PERIMETER OF A TRIANGLE

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Formula:

  • P = a + b + c

» To calculate the perimeter of a triangle, add the length of its sides then substitute.

  • [tex]\tt{Perimeter = (3x + y) + (8x - 2y) + (2c - 5y) }[/tex]

  • [tex]\tt{Perimeter = 12x+y-2y+2x-5y }[/tex]

  • [tex]\tt{Perimeter = 12x-y+2x-5y }[/tex]

  • [tex]\tt{Perimeter = 14x-y-5y }[/tex]

  • [tex]\underline{\tt\green{Perimeter = 14x-6y }}[/tex]

Therefore, (14x - 6y) cm is the perimeter of a triangle. (Option B.)

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