Could I get some help with the finding the length of the triangle, please?

Question

The triangle shown here indicates that the sides can be represented as 𝑥, 𝑥 + 1, and 2𝑥 + 3. What is the length of each side, if the perimeter is 12 meters? (No it's not a triangle per se, lol, but I tried)

\ \ \

\ \

x+1 \ \ 2x+3

\_______\

x

Answer 1

The perimeter is the sum total of all side lengths.

x + x+1 + 2x+3 = 12

4x+4 = 12

4x=8

x=2

x+1 = 3

2x+3 = 7

Length of all sides are 2, 3 and 7.

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It was brought to my attention that the sides of x, x+1 and 2x+3 do not form a triangle by the Triangle Inequality Theorem where sum the lengths of any two sides must be more than the length of the third side.

x + (x+1) = 2x +1 is not greater than 2x+3. So no matter what the perimeter is, these side values do not form a triangle.

Either the problem was posted incorrectly or this is just an exercise to solve for x.