I am 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?

Question

24-05-2018
Mathematics

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I am 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?

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Louli Louli · Answer 1 · 2018-06-02T23:02:03+02:00

Answer:
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 :)