Question

The O'Brien's are building a rectangular deck around the outside of their circular pool.Part A: Find the combined area of the deck and the pool if the deck is (2x + 3) units wide by (5x + 6) units long. SHOW YOUR WORKPart B: If the area of the pool is 3x2 + 7x + 6, what is the area of just the deck?

Answer 1

`\begin{gathered} \text{Total area} \\ (2x+3)(5x+6) \\ 10x^2+12x+15x+18 \\ 10x^2+27x+18 \\ \\ \text{Area of the deck} \\ 10x^2+27x+18-(3x^2+7x+6) \\ 10x^2+27x+18-3x^2-7x-6 \\ 7x^2+20x+12 \end{gathered}`