Step 1:

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Rectangle $\"\"$ has coordinate points $\"\"$ and $\"\"$ .

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Conside the coordinate points $\"\"$ .

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Formula for $\"\"$ .

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Substitute $\"\"$ and $\"\"$ .

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$\"\"$

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Rectangle $\"\"$ gradient of the line joining the point $\"\"$ is $\"\"$ .

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Since line joining the point $\"\"$ and $\"\"$ is perpendicular.

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Thus, the gradient of the line joining the point $\"\"$ is $\"\"$ .

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$\"\"$ gradient is $\"\"$ .

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General form of line equation is $\"\"$ .

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The line equation $\"\"$ is $\"\"$ .

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Substitute $\"\"$ in the $\"\"$ line equation to find $\"\"$ .

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$\"\"$

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The value of $\"\"$ is $\"\"$ .

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Substitute $\"\"$ in the $\"\"$ line equation.

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$\"\"$ .

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Step 2:

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Find $\"\"$ value.

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Substitute $\"\"$ in the $\"\"$ .

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$\"\"$

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Solution :

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The value of $\"\"$ is $\"\"$ .