Answer:
6x² + 9x + 2
Step-by-step explanation:
The pool is a square with a side length of 2x.
The area of the pool = length * length = 2x * 2x = 4x²
The area of the deck surrounding the pool has length of 2x + 1 and width of 5x + 2. Therefore:
The area of the deck surrounding the pool = length * width = (2x + 1)(5x + 2) = 10x² + 4x + 5x + 2 = 10x² + 9x + 2
Area of the deck only = area of the deck surrounding the pool - area of pool = (10x² + 9x + 2) - 4x²
Area of the deck only = 6x² + 9x + 2
