We have enough material to build a fence around a station that has a perimeter of 180 feet. the width of the rectangular space must be 30 1/4 feet. what must the length be?

To solve this problem you must use the formula of the perimeter (P) of a rectangle and clear the length (L). The perimeter of a rectangle, is:

 P=2L+2W

 "P" is the perimeter of the rectangle (P=180 feet).
 "L" is the lenght of the rectangle.
 "W" is the widht of the rectangle (W=30 1/4 feet=30.25 feet).

 As you can see, you already have the value of the perimeter (P) and the value of the widht (W). Now, you can clear the lenght (L):

 P=2L+2W
 2L=P-2W
 L=(P-2W)/2

 When you substitute the values, you obtain:

 L=(P-2W)/2
 L=(180 feet-2x30.25 feet)/2
 L=(119.5 feet)/2
 L=59.75 feet

 What must the length be?

 The answer is: 59.75 feet