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

Respuesta :

Answer:

D

Step-by-step explanation:

The expression and the length of ribbon that she needs for both pillows is [tex]\rm 4(2x^2+4x-6); 130\;inches[/tex] . Therefore the correct option is D).

Given :

Side length of the pillow = [tex]2x^2 +1[/tex]

Ribbon side length = 4x - 7

Solution :

The length of ribbon that she needs for both pillows,

[tex]= 4(2x^2+1)+4(4x-7)[/tex]

[tex]=4(2x^2+1+4x-7)[/tex]

[tex]=4(2x^2+4x-6)[/tex]

The length at x = 3.5 is,

[tex]=4(2(3.5)^2+4(3.5)-6)[/tex]

[tex]\rm =130\;inches[/tex]

Therefore, the correct option is D).

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https://brainly.com/question/25018625