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Doubling the Area of a Square by Construction

In the given ...

Question

In the given square, the length of the diagonals AC and BD is (32 - a) cm and (a + 8) cm, respectively. What is the area of the square(in $c m^{2}$ )?

A

400

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B

256

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C

200

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D

576

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Solution

The correct option is C 200

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