Final answer:
The area of the walkway around the garden is 26x+16, given as the sum of two terms.
Step-by-step explanation:
The question asks to find the area of the walkway around a rectangular garden.
Let's start by finding the area of the garden. The given expression, 4(4.5x+1.5), represents the area of the garden.
We can simplify this expression by distributing 4 to both terms inside the parentheses, which gives us 18x+6.
Now, let's find the combined area of the garden and the walkway. The given expression, 5.5(8x+4), represents the combined area.
Again, we can simplify this expression by distributing 5.5 to both terms inside the parentheses, which gives us 44x+22.
To find the area of the walkway, we subtract the area of the garden from the combined area.
So, the area of the walkway is (44x+22) - (18x+6), which simplifies to 26x+16.
Therefore, the area of the walkway around the garden is 26x+16, given as the sum of two terms.