$\"\"$

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Draw the related diagram:

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$\"\"$

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Divide the home plate into rectangle and triangle.

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Area of the rectangle is $\"\"$ .

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Find the area of triangle.

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The sides of the triangle are $\"\"$ , $\"\"$ and $\"\"$ .

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Apply Heron $\"\"$ s area formula: $\"\"$ ,

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where $\"\"$ .

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Calculate the value of $\"\"$ .

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Substitute $\"\"$ , $\"\"$ and $\"\"$ in $\"\"$ .

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$\"\"$

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$\"\"$ .

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Substitute $\"\"$ , $\"\"$ , $\"\"$ and $\"\"$ in $\"\"$ .

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$ .

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Area of the triangle is $\"\"$ .

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The area of the home plate is $\"\"$ .

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$\"\"$

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$\"\"$ .

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$\"\"$

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Area of the home plate is $\"\"$ .