Answer: x = 2
Step-by-step explanation: To find the perimeter, we must add all four sides together. Given there are two pairs of parallel sides on a rectangle, we can construct an equation for the perimeter:
2(6x + 1) + 2(2x) ⇒ 12x + 2 + 4x
⇒ 16x + 2 = 34
Now, we can subtract 2 from both sides:
16x + 2 = 34 ⇒ 16x = 32
Finally, we can divide by the coefficient (16):
16x = 32 ⇒ x = 2
Therefore, x = 2.
