Significant digits.

Hello may some one please expalin this problem to me I seem to not be getting what I'm coming across 

 

so this lesson in my Algebra one course was about acurate rounding and it gave alittle explination on significant digit's/significant figures  

 

Here's what it said: 

Significant figure: The amount of significant figures in a number can be found by counting.

Any non-zero digit in the number is significant.
Example: 24 has two significant figures, the "2" and the "4."
 

Any zero between two non-zero numbers is significant.
Example: 101 has three significant figures.
 

Any zero that comes after a non-zero number, in a number with a decimal point, is significant.
Example: 35.00 has four significant figures. 

 

Now I'm getting this part but then I came to a question on my quiz that said 

 

A rectangle has a length of 9.00 inches and a width of 4.25 inches. What is the area in square inches? Round to the correct significant digits.

Answer blank 1: 38 

 

 

 

So my work for that problem was 9.00*4.25 = 38.25  

 

so when I looked at this problem all these numbers in it were significant digits and I was under the impression they were. so I felt it would be relativly acurate to round it to 38 but it turns out I got it wrong (This is a computer multiple choice quiz so maybe i was thinking it was programed for you to put square inches after that) so I did but I got it wrong again (Again this was a minor quiz after a lesson so hence you get 3 shots at it) 

so now I was thinking should I round it to 38.3 ? just I'm not sure so I decided to come here to see if I'm doing something wrong. 

 

THANKS