I'm going to place a rope around the perimeter of our school playground that is in the shape of an octagon. The sides are $10 m, 10 m, 8 m, 8 m, 5 m, 5 m, 9 m$ and $9 m$ . How many metres of rope will be needed for the perimeter?

164 m

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38 m

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64 m

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138 m

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Solution

The correct option is C $64 m$
Length of Rope required $=$ Perimeter of the School Playground
Perimeter is the sum of all sides of the polygon.
Here, the school playground is in the form of an octagon with sides as $10 m, 10 m, 8 m, 8 m, 5 m, 5 m, 9 m, 9 m$
Perimeter $= 10 + 10 + 8 + 8 + 5 + 5 + 9 + 9 = 64 m$
Length of rope required $= 64 m$

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