Iam the fencing around the rectangular lion exhibit at a zoo . the lions have 1,000 square meters to roam inside a rectangular area that is 15 meters longer than it is wide. if i were to unwind and make myself straight , how long would i be?

Area (A) = Length (L) x Width (w)
     1000 =  (w + 15)(w)
     1000 = w² + 15w
           0 = w² + 15 - 1000
 Use Pythagorean Theorem to solve for w:
w =
    =  (-15 +/- 65)/2 =

Since the width cannot be negative, w = -40 is not valid. 
w = 25
L = w + 15  → L = (25) + 15 → L = 40

The question is asking for the perimeter:
Perimeter (P) = 2·L + 2·w
                      = 2(40) + 2(25)
                      =  80    +   50
                     =        130

If you unwind the fence, it would be 130 ft long