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. She plans to make a similar pillow, including the ribbon, whose side length is 4x−7 inches. What expression can be used for the length of ribbon that she needs for both pillows, and what is the length if x = 3.5?
2x2+4x−6; 22.0 inches
2x2+4x−6; 32.5 inches
4(2x2+4x−6;) 88.0 inches
4(2x2+4x−6;) 130.0 inches
The expression that can be used for the length of ribbon that she needs for both pillows is 4(2x^2+4x-6).
If x = 3.5, plugging it into the expression we get:
4(2(3.5)^2+4(3.5)-6)
4(2(12.25)+14-6)
4(24.5+14-6)
4(32.5)
130.0 inches
Therefore, the length of ribbon that she needs for both pillows when x = 3.5 is 130.0 inches.
So the correct answer is: 4(2x^2+4x-6); 130.0 inches