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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?

Respuesta :

MrRoyal

The expression that represents the length of the ribbon and the pillow is [tex]P =4(2(3.5)^2 + 1) + 4(4(3.5) - 7)[/tex]

The side lengths are given as:

  • Pillow = 2x^2 + 1
  • Ribbon = 4x - 7

The shapes are said to be in form of squares.

Perimeter

The perimeter of a square of side length x is calculated using:

[tex]P =4x[/tex]

The expression

The perimeter of the ribbon and the pillow is:

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

The value of x is 3.5.

So, the expression becomes

[tex]P =4(2(3.5)^2 + 1) + 4(4(3.5) - 7)[/tex]

[tex]P =130[/tex]

Hence, the expression that represents the length of the ribbon and the pillow is [tex]P =4(2(3.5)^2 + 1) + 4(4(3.5) - 7)[/tex]

Read more about perimeters at:

https://brainly.com/question/397857

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