Question

An inground pool is 34 feet long and x inches wide. Its brick walkway is 4 feet wide around the pool. What expression represents the area of the brick walkway?

Answer 1

`A_w=238x-2176`

Explanation:

From the question we are told that:

Length of pool
`L=34ft`

Width of Pool
`W=x`.

Brick walkway Width
`W_b=4`

Generally the expression for a Area of pool is mathematically given by

`A=L*W`

`A=34*x`

`A=34x`

Generally the expression for a Area of pool + Walkway is mathematically given by

`A'=L'*B'`

where

`L' =L+2(W_b)`

`L' =34+2(4)`

`L'=34+8`

`L'=272`

And

`W'=W+2(W_b)`

`W' =x+2(4)`

`W' =x+8`

Therefore

`A'=L'*B'`

`A'=(272)*(x+8)`

`A'=272x+2176`

Generally the expression for a Area of Walkway is mathematically given by

`A_w=Area\ of\ Pool+Walkway-Area\ of\ Pool`

`A_w=A'-A`

`A_w=272x+2176-34x`

`A_w=238x-2176`