SOLUTION: A rectangular shape swimming pool is half as wide as it is long. There is a walkway around the pool that is 2 feet wide. The total area of the walkway is 184 square feet. Determine
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Question 1027215: A rectangular shape swimming pool is half as wide as it is long. There is a walkway around the pool that is 2 feet wide. The total area of the walkway is 184 square feet. Determine the dimensions of the pool. This one is really tricky, can you please show me how to figure it out? thanks :)
Answer by rothauserc(4718) (Show Source): You can put this solution on YOUR website!
w = l/2, wis width, l is length
:
184 = ((w+4) * (l+4)) - (l*w)
:
184 = wl+4l+4w+16 - wl
:
184 = 4l +4w +16
:
substitute for w
:
184 = 4l +4*(l/2) +16
:
184 = 4l +2l +16
:
6l = 168
:
l = 28
:
w = 14
:
use quadratic formula
:
**********************************
length is 28 feet
width is 14 feet
**********************************
:
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