Hope this helps and hope you can read it, if not let me know :)
No. The area doesn't tell you the dimensions, and you need
the dimensions if you want the perimeter.
If you know the area, you only know the <em><u>product</u></em> of the length and width,
but you don't know what either of them is.
In fact, you can draw an infinite number of <em><u>different</u></em> rectangles
that all have the <em>same</em> area but <em><u>different</u></em> perimeters.
Here. Look at this.
I tell you that a rectangle's area is 256. What is its perimeter ?
-- If the rectangle is 16 by 16, then its perimeter is 64 .
-- If the rectangle is 8 by 32, then its perimeter is 80 .
-- If the rectangle is 4 by 64, then its perimeter is 136 .
-- If the rectangle is 2 by 128, then its perimeter is 260 .
-- If the rectangle is 1 by 256, then its perimeter is 514 .
-- If the rectangle is 0.01 by 25,600 then its perimeter is 51,200.02
The answer to your question is C.
