A square blue rug has a red square in the center. The side length of the red square is x inches. The width of the blue band that surrounds the red square is 10 in. What is the area of the blue ​band?

Respuesta :

Answer:

[tex]100-x^2[/tex]

Step-by-step explanation:

Length of the Blue Square = 10 inch

Length of the Red Square = x inch

Area of a Square =[tex]l^2[/tex]

The Area of the Blue Band = Area of the Blue Square - Area of the Red Square

[tex]=(10^2)-x^2\\=100-x^2[/tex]

The area of the blue band is [tex]100-x^2[/tex]