carlita has a rectangular swimming pool in her back yard that has a length of 24 feet and a width of 12 feet. She wants to install a concrete walkway of width C around the pool. surrounding the walkway, she wants to have a wood deck that extends W feet on all sides. find an expression for the perimeter of the wood deck.

Respuesta :

Answer:

P=8c + 72

Step-by-step explanation:

i hope that help have a good day

Carlita has a rectangular swimming pool with the given dimensions as,

Length = 24 feet

Width = 12 feet

She wants to install a concrete walkway with width = c

After installing the concrete walkway dimensions of the walkway will be,

Length = 24 + 2c

Width = 12 + 2c

Now she wants to build a wooden deck around the pool with a concrete walkway of width = w

Then the dimensions of the wooden deck around the pool will be,

Length = 24 + 2c + 2w

Width = 12 + 2c + 2w

Now the perimeter of the wooden deck will be,

Perimeter = 2(length + width)

                = 2[(24 +2c + 2w) + 2(12 + 2c + 2w)]

                = 2(36 + 4c + 4w)

                = (72 + 8c + 8w)

Therefore, perimeter of the wooden deck will be represented by,

Perimeter = (72 + 8c + 8w)

Learn more,

https://brainly.com/question/1171312