An equilateral triangle is modified so that the measure of each side is now 2 more than 3 times the original triangle. If the perimeter of the larger triangle is 42 , what is the length of the original side of the equilateral triangle ?
If the original of each length is x,
then the new length of each is: 3x + 2 (two more than three times the original)
Perimeter of new triangle: (3x + 2) + (3x + 2) + (3x + 2) = 42
---> 9x + 6 = 42
---> 9x = 36
---> x = 4