The area of a square quilt is 289 square inches. there is a smaller square patch on the quilt with an area of 121 square inches. what is the difference between the overall perimeter of the quilt and the perimeter of the smaller square patch?

Area of a square quilt = 289 square inches
Area of a smaller square quilt = 121 square inches

Area of a square = a²

Side length of big square quilt = √289 in² = 17 inches
side length of small square quilt = √121 in² = 11 inches

Perimeter of big square = 17 inches * 4 = 68 inches
perimeter of small square = 11 inches * 4 = 44 inches

difference = 68 inches - 44 inches = 24 inches.

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