Question

la has a swimming pool in her backyard that is rectangular with a length of 26 feet and a width of 16 feet.wants to install a concrete walkway of width c around the pool. Surrounding the walkway, she wants to> a wood deck that extends w feet on all sides. Find an expression for the perimeter of the wood deck.0 74+ 86 + 8wO 416 + 6c + 2wO 42 + 4c + 4w0 84 + 80 + 8w

Answer 1

Given that the length of the pool is 26 feet and the width is 18 feet.

The width of the walk way=c feet.

The width of the wood deck =w feet.

The wood deck is in a rectangle shape.

The length of the wood deck = the length of the pool + 2 times of the width of the walkway+ 2 times of the width of the wood deck.

The length of the wood deck l =26+2w+2c.

The width of the wood deck = the width of the pool + 2 times of the width of the walkway+2 times of the width of the wood deck.

The width of the wood deck w = 16+2w+2c.

The perimeter of the wood deck is

$P=2(l+w)$

Substitute l=26+2w+2c and w=16+2w+2c, we get

$P=2(26+2w+2c+16+2w+2c)$

$P=2(42+4w+4c)$

$P=2\times42+2\times4w+2\times4c$

$P=84+8w+8c$

Hence the perimeter of the wood deck is 84+8c+8w

The fourth option is correct.