There is a regular octagonal park. The surface area of the park $=$ ___ $m^{2}$

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Solution

Split it into two trapeziums and a rectangle by joining vertices as shown below:

Area of Octagon $= 2 \times (Area of trapezium) + Area of rectangle$

$= 2 \times [\frac{1}{2} \times (5 + 11) \times 4] + 5 \times 11$

$= 119 m^{2}$

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