Two lines are drawn parallel to the diagonal of a square as shown in the first figure. Another set of parallel lines are drawn along the second diagonal to form a larger square, then the area of the larger square is ____.

3 times the area of the original square

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Same as the area of the original square

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Half the area of the original square

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Double the area of the original square

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Solution

The correct option is D
Double the area of the original square

Two lines are drawn parallel to the diagonal of a square and another set of parallel lines are drawn along the second diagonal to form a larger square,

Then, the area of the larger square is double the area of the original square

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Two lines are drawn parallel to the diagonal of a square as shown in the first figure. Another set of parallel lines are drawn along the second diagonal to form a larger square, then the area of the larger square is ____.

The correct option is D Double the area of the original square Two lines are drawn parallel to the diagonal of a square and another set of parallel lines are drawn along the second diagonal to form a larger square, Then, the area of the larger square is double the area of the original square

The correct option is D
Double the area of the original square

Two lines are drawn parallel to the diagonal of a square and another set of parallel lines are drawn along the second diagonal to form a larger square,

Then, the area of the larger square is double the area of the original square