which geologic era had the shorest time span and the longest time span?

1) Longest = paleozoic
20 shortest = cenozoic

Is this correct?

No, your answer is not correct. The Paleozoic Era is not the longest geologic era, and the Cenozoic Era is not the shortest.

To determine the geologic era with the longest and shortest time spans, we need to look at the divisions of the geologic time scale. The geologic time scale is divided into several eras, and each era is further subdivided into periods and epochs.

The era with the shortest time span is the Quaternary Era, which is part of the Cenozoic Era. The Quaternary Era is the most recent era and encompasses the last 2.6 million years. It is characterized by the development of humans and significant climatic changes, including Ice Ages.

On the other hand, the era with the longest time span is the Precambrian Era. The Precambrian Era is the earliest and longest era in Earth's history, spanning from the formation of the Earth, about 4.6 billion years ago, to the beginning of the Phanerozoic Eon around 541 million years ago. This era includes nearly 4 billion years of Earth's history before complex life forms appeared.

So, to summarize, the Quaternary Era has the shortest time span, and the Precambrian Era has the longest time span.