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March 27, 2017

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Jessica is creating a heart-shaped card to give to her valentine. She has folded a square piece of paper in half and traced the pattern onto one half of the folded paper. The pattern consists of a right triangle with hypotenuse of length 7 1/2 inches and a semi-circle with a diameter of 4 1/2 inches. The entire heart will cover 2/7 of the square paper. What is the side length, in inches, of the piece of paper Jessica is using to create the card? Express your answer as a decimal to the nearest tenth. (Use ð = 22/7)

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