Final answer:
To find the area of the walkway around the garden, subtract the area of the garden from the combined area. The area of the walkway is 27x + 15 as the sum of two terms.
Step-by-step explanation:
To find the area of the walkway around the garden, we need to subtract the area of the garden from the combined area of the garden and the walkway.
The area of the garden is given as 6(5.5x + 2.5), and the combined area is given as 7.5(8x + 4).
So, the area of the walkway can be found as:
Area of Walkway = Combined Area - Area of Garden
= 7.5(8x + 4) - 6(5.5x + 2.5)
Next, we can simplify the expression and expand:
Area of Walkway = 60x + 30 - 33x - 15
Area of Walkway = 27x + 15
Therefore, the area of the walkway is 27x + 15 as the sum of the two terms.