Question

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?

Answer 1

`100-x^2`

Explanation:

Length of the Blue Square = 10 inch

Length of the Red Square = x inch

Area of a Square =
`l^2`

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

`=(10^2)-x^2\\=100-x^2`

The area of the blue band is
`100-x^2`