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?

length of the fence = 40 meters
width of the fence = 15 meters

Explanation:
Assume that the width of the fence is w.
We are given that the length of the fence is 15 meters longer than the width.
This means that:
length = w + 15

Now, we know that the area of the rectangle is calculated as follows:
area = length * width

We are given that the area is 1000 m²

Substitute in the equation and solve for w as follows:
area = length * width
1000 = (w+15)(w)
1000 = w² + 15w
w² + 15w - 1000 = 0
(w-25)(w+40) = 0

This means that:
either w-25=0 > w = 25 meters > accepted solution
or w+40=0 > w = -40 m > rejected as width cannot be negative

Based on the above:
width of fence = 25 meters
length of fence = w + 15 
                         = 25 + 15 
                         = 40 meters

Hope this helps :)