Yes. Thats (length) times (width).
It doesnt make any difference if you multiply (width) times (length).
The result is the same. Thats one of the properties of multiplication.
It doesnt matter which order you do it in.
Yes, the area of a rectangle is length times width (A=lw) or base times height (A=bh). They mean the same thing, just with different wording.
Lets say you have a rectangle with the following dimensions - 8 in. x 9 in.
Area = length * width
A = 8 * 9
A = 72
Therefore the area of this rectangle would be 72 square inches.