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.
