Question

a square green rug has a yellow square in the center. The side of the yellow square is x inches the width of the green band that surrounds the yellow square is 7 inches. What is the area of the green band?

Answer 1

28x +196 in^2

Explanation:

The outside dimension of the square green rug is (x+14), so its area is (x+14)^2. The area of the green band will be the difference between this and the area of the yellow square, (x^2).

green band area = (x +14)^2 -(x^2) = x^2 +28x +196 -x^2

green band area = 28x +196 . . . . square inches