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10 votes
10 votes
A triangle has side lengths of 2x , x + 4, and 3 (x + 3). Find the value of x if the perimeter of the triangle is 55 inches.​

User Piyush Parashar
by
2.7k points

2 Answers

17 votes
17 votes

Answer:

  • 7 inches

Explanation:

Perimeter is the sum of side lengths:

  • P = 2x + x + 4 + 3(x + 3)
  • P = 55

Solve for x:

  • 2x + x + 4 + 3(x + 3) = 55
  • 3x + 4 + 3x + 9 = 55
  • 6x + 13 = 55
  • 6x = 55 - 13
  • 6x = 42
  • x = 42/6
  • x = 7
User MiltoxBeyond
by
3.2k points
9 votes
9 votes

Answer:

x=7

Explanation:

55=2x+(x+4)+[3(x+3)]

55=2x+x+4+3x+9

55=6x+13

55-13=6x

42=6x

7=x

User Bettina
by
2.6k points