Final answer:
Lola played 38 consecutive games of soccer without being taken off the field. The second string of consecutive games she played, after a single game on the sidelines, was 50% shorter. The length of the second string is 19 games.
Step-by-step explanation:
First, let's determine the length of the first string of consecutive games. If Lola played 38 consecutive games without being taken off the field, then the length of that string is 38.
Next, let's calculate the length of the second string of consecutive games, which is 50% shorter than the first. To find the length, we multiply the length of the first string (38) by 50% (or 0.5). The calculation is: 38 * 0.5 = 19.
Therefore, the second string of consecutive games that Lola played after a single game on the sidelines is 19 games.