What is the length and width of a rectangle that has the area of 1174.25

Nobody can say.  The area doesn't tell you the dimensions.  The only thing
you do know for sure is that whatever the length and width are, you get
1174.25 when you multiply them.  There are an infinite number of possibilities. 

You can make up as many correct answers as you want.  Just pick any
number you like that's less than 1174.25 and call it the length.  Then
divide 1174.25 by your number, and the quotient is the width of the rectangle.