Question

A square swimming pool is surrounded by a cement sidewalk that is 3 feet wide. Enter two different function representations for the total area that the swimming pool and sidewalk enclose, A(x), if the length of the pool is x feet long

Answer 1

Explanation:

the area function for the square pool itself is

A(x) = x² ft²

the area function for the pool and its sidewalk is

A(x) = (x + 6)² = x² + 12x + 36 ft²

simply because in this case the side length of the square is x+3+3 ft long (3ft added on both edges).