$\"\"$

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(a)

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Consider the performance region in the stage.

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The traingle lengths are $\"\"$ , $\"\"$ and $\"\"$ .

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Herons formula :

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The area of $\"\"$ is $\"\"$ .

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Where $\"\"$ .

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Therefore $\"\"$

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$ .

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Therefore the area of stage used in performance is $\"\"$ .

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$\"\"$

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(b)

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Determine the percentage of stage used in performace if the stage is $\"\"$ .

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the area of stage used in performance is $\"\"$ .

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The percentage of stage used in performace is $\"\"$ .

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$\"\"$

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The percentage of stage used in performace is $\"\"$ .

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$\"\"$

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(a) The area of stage used in performance is $\"\"$ .

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(b) If the stage is $\"\"$ ,the percentage of stage used in performace is $\"\"$ .