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:

$8x^2+16x-24$

Length of ribbon used for two pillows=$8(3.5)^2+16(3.5)-24=130$ inches

Step-by-step explanation:

We are given that two pillow of square shaped

Length of one pillow=$2x^2+1$

Length of second pillow=$4x-7$

We know that perimeter of square=4 times side

Perimeter of one pillow =$4(2x^2+1)=8x^2+4$

Perimeter of second pillow =$4\times (4x-7)=16x-28$

Length of ribbon =sum of perimeter of two pillows

Length of ribbon=$8x^2+4+16x-28=8x^2+16x-24$

The expression used for length of ribbon that she needs for both pillows

$8x^2+16x-24$

Substitute x=3.5

Then, length of ribbon used for two pillows=$8(3.5)^2+16(3.5)-24=130$ inches