If PΔERO = 68 units and ΔERO has ER = x units, RO = 2x units, and EO = 3x units, what is the length of EO?

34 units

Step-by-step explanation:

The perimeter of a triangle is given by the sum of the lengths of its three sides.

So if the perimeter is 68 units and the sides measure x, 2x and 3x, we have that:

x + 2x + 3x = 68

6x = 68

x = 68/6 units

Now with the value of x we can find the length of EO:

EO = 3x

EO = 3 * (68/6)

EO = 68/2 = 34 units