Answer
Option C is correct.
Length of the rectangle = 115x - 130
Step-by-step explanation
The perimeter of a rectangle is given as
Perimeter = 2 (L + W)
where
Perimeter = 250x - 300
L = Lenght of the rectangle = ?
W = Width of the rectangle = 10x - 20
Perimeter = 2 (L + W)
250x - 300 = 2 (L + 10x - 20)
250x - 300 = 2L + 20x - 40
We can then rewrite this
2L + 20x - 40 = 250x - 300
2L = 250x - 20x - 300 + 40
2L = 230x - 260
Divide through by 2
(2L/2) = (230x - 260)/2
L = 115x - 130
Hope this Helps!!!