# 5.7.3. Area of a Square in Terms of Its Diagonal Length

Given that cm, find the area of the square.

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A piece of paper has an area of . If 4 congruent squares are cut from it and each of them has a diagonal of cm, find the area of the remaining part.

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Given that cm, find the area of the square.

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Find the perimeter of a square whose area is .

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If the figure is a square whose area is , find .

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If is a square whose area is , find .

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Determine the diagonal length of a square having an area of .

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Determine the side length of a square having an area of .

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Find the difference in area between a square whose side length is cm and a rectangle whose dimensions are cm and cm.

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Given that is a rectangle, is a square, cm, and cm, calculate the area of the shaded part.

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Given that is a rectangle, is a square, cm, and cm, calculate the area of the shaded part.

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If and are two squares and cm, find the area of the shaded part.

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