A square red rug has a yellow square center. The side length of the yellow square is x inches. The width of the red band that surrounds the yellow square is 2 in. What is the area of the red band?

8 (x + 2) in²

Step-by-step explanation:

Entire rug:

Side = (x+2+2) = x+4

Area = (x + 4) ² = x² + 8x + 16

Yellow area = x²

Total - yellow = red

x² + 8x + 16 - x² = 8x + 16

Red area = 8x + 16 or 8 (x + 2) in²