Question

An in-ground 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=8x+336`

Explanation:

From the question we are told that:

Length of pool
`l_p=34`

width of pool
`w_p=x`

Width of brick-walk way
`w_b=4`

Generally the equation for Area of the pool
`A_b` is mathematically given by

`A_p=l_p*w_p\\\\A_p=34*x`

Generally the equation for Area of the pool with its walkway
`A_w'` is mathematically given by

`A_w'=l_w'+w_w'\\\\A_w'=l_w'+w_w'`

Where

`l_w'=length\ of\ pool\ with\ walkway\\\\l_w'=l_p+4+4\\\\l_w'=34+4+4\\\\l_w'=42`

Therefore

`w_w'=width\ of\ pool\ with walkway\\\\w_w'=w_p+8\\\\A_w'=42*(x+8)`

Generally the equation for pool's walkway
`A_w` is mathematically given by

`A_w=A_w'-A_p\\\\A_w=(42*(x+8))-(34x)`

`A_w=8x+336`