A square blue rug has a purple square in the center. the side length of the purple square is x inches. the width of the blue band that surrounds the purple square is 10 in. what is the area of the blue ?band?
The area of the blue band is equal to the area of the rug minus the purple square. The area of the purple square can be expressed as x squared while the area of the rug can be expressed as ten squared or 100 square inches. The area of the blue band can be expressed as 100-x^2.
