There is a regular octagonal park. Find the surface area of the park (in $m^{2}$ ).

119

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120

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122

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123

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Solution

The correct option is A
119

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

Area of Octagon = (2 × Area of trapezium) + Area of rectangle

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

=119 $m^{2}$

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