Question

PLEASE HELP ME ITS URGENT!!!!

A rectangular garden has a walkway around it. The area of the garden is 4(5.5x + 1.5). The combined
area of the garden and the walkway is 4.5(8x + 4). Find the area of the walkway around the garden as
the sum of two terms.
CD
The area of the walkway around the garden is 1
(Simplify your answer. Use integers or decimals for any numbers in the expression.)

Answer 1

Solving the Question

We're given:

• Area (garden) = 4(5.5x + 1.5)
• Area (garden + walkway) = 4.5(8x + 4)

To find the area of the garden alone, we can subtract the area of the garden from the combined area of the garden and walkway:

`4.5(8x + 4)-4(5.5x + 1.5)`

Open up the parentheses:

`= 36x +18 -22x - 6`

Combine like terms:

`= 36x +18 -22x - 6\\= 14x +18 - 6\\= 14x +12`

Answer

The area of the walkway around the garden is 14x + 12.