Question

A triangle has a perimeter of 11.5 feet. The side lengths are x feet, 2x – 2 feet, and 3x + 1.5 feet. What is the value of x?​

Answer 1

`perimeter = h + l + b \\ = x + 2x - 2 + 3x + 1.5 = 11.5 \\ x \: terms \: togather \\ x + 2x + 3 x- 2 + 1.5 = 11.5 \\ 6x - .5 = 11.5 \\ 6x = 11.5 + .5 \\ 6x = 12 \\ x = (12)/(6) \\ x = 2 \\ thank \: you`

Answer 2

• x = 2 feet

Explanation:

We know that the perimeter is the sum of side lengths.

• P = a + b + c

Substitute the values and solve for x:

• x + 2x - 2 + 3x + 1.5 = 11.5
• 6x - 0.5 = 11.5
• 6x = 12
• x = 12/6
• x = 2