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A fence with 2 gates In it surround a lion enclosure each gate is 4 m wide what is the length of the fence around the enclosure no including the gates?

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Answer:

The answer to the question is;

The enclosure length of the fence excluding the gates is 72 m.

Step-by-step explanation:

To solve the question, we note that the South Africa Predatory Association, SAPA recommended enclosure size should be 400 m² per animal

Therefore, if the enclosure is of equal sides, we have

Side of enclosure = [tex]\sqrt{400 m^2}[/tex] = 20 m

Since there are four sides in a square, we have the length of the fence around the enclosure given by,

Length of fence = Perimeter of square = 4 × sides = 4 × 20 m = 80 m

Remember that we are asked to exclude the gates, this gives;

Length of gates = 4 m × 2 gates = 8 m

Excluding the gates gives

Perimeter of fence - 8 m = 80 m - 8 m = 72 m

Therefore the length of the fence around the enclosure not including the gates is 72 m.

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