Answer:The area of the walkway around is 26 x + 16 as the sum of two terms
Step-by-step explanation:
A rectangular garden has a walkway around it
1. The area of the garden is 4(4.5 x + 1.5)
2. The combined area of the garden and the walkway is 5.5(8 x + 4)
We need to find the area of the the walkway
To find the area of the walkway by subtracting the area of the
rectangle from the combined area
∵ The combined area = 5.5(8 x + 4) ⇒ simplify it
∴ The combined area = 5.5(8 x) + 5.5(4)
∴ The combined area = 44 x + 22
∵ The area of the garden = 4(4.5 x + 1.5) ⇒ simplify it
∴ The area of the garden = 4(4.5 x) + 4(1.5)
∴ The area of the garden = 18 x + 6
Now subtract the area of the garden from the combined area
∵ Area of the walkway = (44 x + 22) - (18 x + 6)
∴ Area of the walkway = 44x + 22 - 18 x - 6
- Add like terms
∴ Area of the walkway = (44 x - 18 x) + (22 - 6)
∴ Area of the walkway = 26 x + 16
The area of the walkway around is 26 x + 16 as the sum of two terms
Step-by-step explanation:
