Question

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

Answer 1

Answer:

4(2x2+4x−6;) 130.0 inches

Step-by-step explanation:

Answer 2

The expression that can be used for the total length of ribbon she needs for both square pillows and the length if x = 3.5 is:

D. 4(2x² + 4x - 6); 130.0 inches.

What is the Perimeter of a Square?

Perimeter of a square = 4(s).

s = side length of the square.

Perimeter of the first pillow = 4(s) = 4(2x² + 1) inches.

Perimeter of the similar pillow = 4(s) = 4(4x - 7) inches.

Expression for the total length of ribbon she will need for both square pillows is:

4(2x² + 1) + 4(4x - 7)

4(2x² + 1 + 4x - 7)

4(2x² + 4x - 6)

If x = 3.5, plug in the value of x into 4(2x² + 4x - 6) to find the total length of the ribbon she needs:

4(2(3.5)² + 4(3.5) - 6)

4(24.5 + 14 - 6)

130.0 inches.

Thus, the expression that can be used for the total length of ribbon she needs for both square pillows and the length if x = 3.5 is:

D. 4(2x² + 4x - 6); 130.0 inches.

Learn more about perimeter of square on:

https://brainly.com/question/25092270