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169 square inches.

Folding the square in half leaves 2 edges of the original side length and two of half the side length. Therefore:

perimeter = side + 1/2 side + side + 1/2 side

= 3 sides

⇒ 3 sides = 39 inches

⇒ 1 side = 39 inches ÷ 3

= 13 inches

⇒ area_original_square = 13 inches x 13 inches

= 169 square inches.

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Q: When you fold a square paper vertically the new rectangle has a perimeter of 39 inches what is the original area of the square?
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