The product of the measurements 2.05 cm x 32 cm should be rounded to1 significant figure2 significant figure3 significant figure5 significant figure

Two significant figures

Step-by-step explanation:

In multiplication problems, your answer can have no more significant figures than the number with the fewest significant figures.

2.05 cm × 32 cm = 65.600 000 00 cm² (by my calculator)

There are three significant figures in 2.05, but only two in 32.

You must round to two significant figures and report the answer as 66 cm².

65.600 000 00 cm² ⟶ 66 cm²  

the old alchemists made significant contributions to science even though there starting premises were off a bit. their conclusions after failure would steer them into better directions for investigation. science is no more than close observation and the initial mistakes result in rethinking and retrying experiments.