$\"\"$

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(a)

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Consider steeles property.

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The 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 steeles property is $\"\"$ .

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$\"\"$

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Consider vacant lot.

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The 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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Therefore the area of steeles property is $\"\"$ .

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The total area is equal to sum of steeles property area and vacant lot property area.

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Total area $\"\"$ .

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Total area is $\"\"$

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$\"\"$

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(b)

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Determine the area of the lot in square feet.

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Total area is $\"\"$ .

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The area in square feet is $\"\"$

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The area in square feet is $\"\"$ .

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$\"\"$

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(a) Total area is $\"\"$

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(b) The area in square feet is $\"\"$ .