Final answer:
Sonia needs 48 inches of ribbon to sew along each side of a square pillow with an area of 144 in.².
Step-by-step explanation:
Sonia wants to sew ribbon along each side of a square pillow. If the pillow has an area of 144 in.², the length of one side of the square can be found by taking the square root of the area, which is √144 = 12 inches. Since a square has four equal sides, she would need ribbon for all four sides of the pillow. Therefore, the total amount of ribbon Sonia needs would be 12 inches per side × 4 sides, which equals 48 inches.