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

Answer:

$A_w=238x-2176$

Step-by-step 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

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

 $A_w=A'-A$

 $A_w=272x+2176-34x$

 $A_w=238x-2176$