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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?

Sagot :

okpalawalter8

Answer:

[tex]A_w=8x+336[/tex]

Step-by-step explanation:

From the question we are told that:

Length of pool [tex]l_p=34[/tex]

width of pool [tex]w_p=x[/tex]

Width of brick-walk way  [tex]w_b=4[/tex]

 

Generally the equation for Area of the pool [tex]A_b[/tex] is mathematically given by

 [tex]A_p=l_p*w_p\\\\A_p=34*x[/tex]

Generally the equation for Area of the pool with its walkway [tex]A_w'[/tex] is mathematically given by

 [tex]A_w'=l_w'+w_w'\\\\A_w'=l_w'+w_w'[/tex]

Where

[tex]l_w'=length\ of\ pool\ with\ walkway\\\\l_w'=l_p+4+4\\\\l_w'=34+4+4\\\\l_w'=42[/tex]

Therefore

[tex]w_w'=width\ of\ pool\ with walkway\\\\w_w'=w_p+8\\\\A_w'=42*(x+8)[/tex]

Generally the equation for pool's walkway [tex]A_w[/tex] is mathematically given by

[tex]A_w=A_w'-A_p\\\\A_w=(42*(x+8))-(34x)[/tex]

[tex]A_w=8x+336[/tex]

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