A billiards triangle is equilateral. What is its perimeter?

One side is (2x+1) in and the other is (4x - 9 1/4) in.

Equilateral triangle: is a triangle in which all tree sides are equal.

therefore:

one side (2x+1) in = other side (4x-9 1/4) in

9 1/4=9+1/4 = (36+1) / 4=37/4

we have this equation:

2x+1=4x-37/4

lowest common multiple=4

8x+4=16x-37

8x-16x=-37-4

-8x=-41

x=-41/-8

x=5.125

therefore:

lenght of the side = (2x+1) = (4x - 9 1/4)

2x+1=2 (5.125) + 1=11.25

Perimeter of a equilateral triangle=3 (lenght of the side)

Perimeter of this equlateral triangle=3 (11.25) = 33.75

Answer: the perimeter of this equilateral triangle is 33.75 in.