The can of wood stain is twice as wide but half as tall as the can of paint. What is true about the areas of their labels?

In this case the areas would be exactly the same. To prove this, think of a can of stain as 4 inches wide by 6 inches tall/long. If the can of paint is 8 inches wide and 3 inches tall / long, both areas would be 24 inches squared. By cutting one dimension in half and doubling the other dimension, you do not change the overall area.