Margot is sewing a ribbon on a seam along the perimeter of a square pillow. The side length of the pillow is 2x2 + 1 inches, and its perimeter is 4(2x^2 + 1) inches. If x = 3.5, how much ribbon does she need?
Accepted Solution
A:
---------------------------------------------------------------------------------------- Given information ---------------------------------------------------------------------------------------- Side length of a square = 2x² + 1 Perimeter of the square = 4(2x² + 1)
---------------------------------------------------------------------------------------- If x = 3.5, find perimeter ---------------------------------------------------------------------------------------- Perimeter of the square = 4(2(3.5)² +1) Perimeter of the square = 4(2(12.25) +1) Perimeter of the square = 4(24.5 +1) Perimeter of the square = 4(25.5) Perimeter of the square = 102 inches
---------------------------------------------------------------------------------------- Answer: Margot will need 102 inches of the ribbon. ----------------------------------------------------------------------------------------