I see no actual question, but I'm assuming that you want to find the dimensions of the rectangle.
In general, the area of a rectangle with width
and length
is

In this case, we know that the width is one-fourth of its length, which means 
If we plug this expression for w in the formula for the area, we get

We also know that the area is 9 squared units, so we have

If we multiply both sides by 4, we get

Consider the square root of both sides (we only accept the positive solution, since a negative length would make no sense:

So, the length is 6, and the width is one-fourth of 6, i.e.
