A square green rug has a blue square in the center.the side length of the blue square is x inches .the width of the green band that surrounds the blue square is 6 in.What is the area of the green band?

Answer 1

since the square has side x, the surrounding area has side 6+x+6 = x+12

So, the green area is (x+12)^2 - x^2 = 24x+144

Answer 2

36-x^2 in.

Answer 3

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