Question 7 • CMS 2026-2027 NC Math 1 CREDIT RECOVERY
Margot is sewing a ribbon on a seam along the perimeter of a square pillow. The side length of the pillow is 2 x squared plus 1 inches. She plans to make a similar pillow, including the ribbon, whose side length is 4 x minus 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 is equal to 3 point 5 ?
Answer
A
2 x squared plus 4 x minus 6 ; 32 point 5 inches
B
2 x squared plus 4 x minus 6 ; 22 point 0 inches
C
4 times open paren 2 x squared plus 4 x minus 6 close paren ; 130 point 0 inches
D
4 times open paren 2 x squared plus 4 x minus 6 close paren ; 88 point 0 inches
Explanation
A square’s perimeter is 4 times its side length. Add the side lengths of the two pillows, then multiply by 4: 4[(2x² + 1) + (4x − 7)] = 4(2x² + 4x − 6). When x = 3.5, the expression inside the parentheses is 2(3.5²) + 4(3.5) − 6 = 32.5, so the total ribbon length is 4 × 32.5 = 130 inches. This matches the choice with expression 4(2x² + 4x − 6) and length 130.0 inches.
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