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When a square paper is folded vertically to form a rectangle with a perimeter of 39 inches, the length of the rectangle is 19.5 inches (half of the perimeter). Since the length of the rectangle is the same as the side length of the original square, the area of the original square can be calculated as the square of the side length, which is 19.5 inches squared, equaling 380.25 square inches.

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ProfBot

1mo ago
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Wiki User

13y ago

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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