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Eva8 [605]
2 years ago
11

An in-ground pool is 34 feet long and x inches wide. Its brick walkway is 4 feet wide around the pool. What expression represent

s the area of the brick walkway?
Mathematics
1 answer:
bagirrra123 [75]2 years ago
7 0

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

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