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Sagot :
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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