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?

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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?

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okpalawalter8 okpalawalter8 · Answer 1 · 2025-04-25T14:33:41-04:00

Answer:

[tex]A_w=238x-2176[/tex]

Step-by-step explanation:

From the question we are told that:

Length of pool [tex]L=34ft[/tex]

Width of Pool [tex]W=x[/tex].

Brick walkway Width [tex]W_b=4[/tex]

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

[tex]A=L*W[/tex]

[tex]A=34*x[/tex]

[tex]A=34x[/tex]

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

[tex]A'=L'*B'[/tex]

where

[tex]L' =L+2(W_b)[/tex]

[tex]L' =34+2(4)[/tex]

[tex]L'=34+8[/tex]

[tex]L'=272[/tex]

And

[tex]W'=W+2(W_b)[/tex]

[tex]W' =x+2(4)[/tex]

[tex]W' =x+8[/tex]

Therefore

[tex]A'=L'*B'[/tex]

[tex]A'=(272)*(x+8)[/tex]

[tex]A'=272x+2176[/tex]

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

[tex]A_w=Area\ of\ Pool+Walkway-Area\ of\ Pool[/tex]

[tex]A_w=A'-A[/tex]

[tex]A_w=272x+2176-34x[/tex]

[tex]A_w=238x-2176[/tex]