To find out how much ribbon Sonya needs to sew around the square pillow, we first need to determine the dimensions of the pillow.
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Calculate the side length of the pillow: The area of a square is given by the formula: \[ \text{Area} = \text{side length}^2 \] We know that the area of the pillow is 144 square inches, so we can set up the equation: \[ \text{side length}^2 = 144 \] Taking the square root of both sides gives: \[ \text{side length} = \sqrt{144} = 12 \text{ inches} \]
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Calculate the perimeter of the pillow: The perimeter \( P \) of a square is given by the formula: \[ P = 4 \times \text{side length} \] Substituting the side length we found: \[ P = 4 \times 12 = 48 \text{ inches} \]
Therefore, Sonya must buy 48 inches of ribbon to have the exact amount needed to sew along each side of the square pillow.