$\"\"$

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(a)

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Observe the figure:

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Here $\"\"$ and $\"\"$ .

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$\"\"$ , $\"\"$ , $\"\"$ , $\"\"$ , $\"\"$ , $\"\"$ , $\"\"$ , $\"\"$ , $\"\"$ , $\"\"$ and $\"\"$ .

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Trapezoidal rule: $\"\"$ .

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Substitute the corresponding values.

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$\"\"$

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The area of the golf green is $\"\"$ square-feet.

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$\"\"$

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(b)

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Simpsons rule: $\"\"$ .

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Substitute all values in the simpons formula:

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$\"\"$

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The area of the golf green $\"\"$ square-feet.

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$\"\"$

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(a) The area of the golf green using trapezoidal rule is $\"\"$ square-feet.

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(b)The area of the golf green using simpson rule is $\"\"$ square-feet.