The area of the walkway is 19x – 32.5
Solution:
Given that, a rectangular garden has a walkway around it.
The area of the garden is 4(3.5x+1.5)
The combined area of the garden and the walkway is 5.5(6x+5)
We have to find the area of the walkway around the garden as the sum of two terms.
Now, we know that,
area of walkway = combined area of garden and walkway – area of garden
So, area of walkway = 5.5(6x + 5) – 4(3.5x + 15)
Area = 33x + 27.5 – 14x – 60
Area = 33x – 14x + 27.5 – 60
Area = 19x – 32.5
Hence, the area of the walkway is 19x – 32.5