Question

The perimeter of a triangle is 49 units. The side lengths are given:

x+2 units, 2x units, and 2(x+1) units. Solve for x.

a) x=6
b) x=8
c) x=10
d) x=12

Answer 1

To solve for x, set up an equation using the given lengths of the sides of the triangle and simplify it to find the value of x. The correct value of x is 9, which doesn't match any of the provided options.

Step-by-step explanation:

To solve for x, we can set up an equation using the given lengths. The perimeter of a triangle is the sum of the lengths of its sides. In this case, the perimeter is given as 49 units, so we can write the equation as (x+2) + 2x + 2(x+1) = 49. Now, simplify the equation and solve for x:

x+2 + 2x + 2x+2 = 49

5x + 4 = 49

5x = 49 - 4

5x = 45

x = 45/5

x = 9

Therefore, the value of x is 9. None of the provided options match this answer, so none of the options are correct.