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

Answer:

$A_w=8x+336$

Step-by-step 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

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

$A_w=8x+336$