Final answer:
The area of the walkway around the garden is the difference between the combined area of the garden and walkway and the area of the garden alone, which is 21x + 28.5.
Step-by-step explanation:
To find the area of the walkway around the garden, we first need to express the area of both the garden and the combined garden and walkway in simplified form. The area of the garden is given by the expression 6(6.5x + 1.5), which simplifies to 39x + 9. The combined area of the garden and the walkway is given by 7.5(8x + 5), which simplifies to 60x + 37.5.
The area of the walkway alone is the difference between the combined area and the area of the garden. So, subtract the garden area from the combined area:
Walkway area = (60x + 37.5) - (39x + 9)
This simplifies to 21x + 28.5. Therefore, the area of the walkway is 21x + 28.5, expressed as the sum of two terms.