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?

Answer 1

Answer:

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Answer 2

Answer:

Side of square pillow = $2x^2+1$

Perimeter of square pillow = $4 \times Side$

                                            = $4 (2x^2+1)$

                                            = $8x^2+4$

So, the boundary length of pillow is  $8x^2+4$

So, the ribbon use for pillow 1 is $8x^2+4$

She plans to make a similar pillow, including the ribbon, whose side length is 4x−7 inches.

Perimeter of second pillow = $4(4x-7)$

So, the ribbon use for pillow 2 is  $4(4x-7)$                  

So,   the length of ribbon that she needs for both pillows =  $8x^2+4+4(4x-7)$

Substitute  x = 3.5

The length of ribbon that she needs for both pillows =$8(3.5)^2+4+4(4(3.5)-7)=130$

Hence  the length of ribbon that she needs for both pillows is 130 m