Explanation:
Carlita has a rectangular swimming pool with the following given dimensions:
Length = 28 feet
Width = 12 feet
She wants to install a concrete walkway with a width of c. Thus, after installing the concrete walkway dimensions of the walkway will be:
Length = 28 feet + 2c
Width = 12 feet + 2c
Now she wants to build a wooden deck around the pool with a concrete walkway of a width of w. Then the dimensions of the wooden deck around the pool will be:
Length = 28 feet + 2c + 2w
Width = 12 feet + 2c + 2w
Thus, the perimeter of the wooden deck will be:
Perimeter = 2(length + width)
that is:
Perimeter = 2( 28 + 2c + 2w + 12 + 2c+ 2w )
this is equivalent to:
Perimeter = 2( 40 + 4c + 4w )
this is equivalent to:
Perimeter = 80 + 8c + 8w
Then, we can conclude that the correct answer is:
Answer:
The perimeter of the wooden deck will be represented by:
[tex]80+8c+8w[/tex]
