SOLUTION: a 22-ft by 28-ft rectangular swimming pool is surrounded by a walkway of uniform width. if the total area of the walkway is 336 ft2, how wide is the walkway?
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Question 897671: a 22-ft by 28-ft rectangular swimming pool is surrounded by a walkway of uniform width. if the total area of the walkway is 336 ft2, how wide is the walkway?
Answer by josgarithmetic(39617) (Show Source): You can put this solution on YOUR website!
I will setup the majority of the solution process completely in symbols, and you can finish from where my response stops.
Say your variables are this way:
w = 22 feet pool width
L = 28 feet pool length
A = area of just the walkway around pool
x = unknown uniform width of the walkway around pool
The unknown variable to solve in this arrangement is x.
Pool area, wL.
Total area of pool and walkway,
WALKWAY AREA,
Solve for x, the uniform width of walkway.
You could choose to substitute values now and perform some numeric simplification, often possible in academic problems; but you do not always know.
Staying in symbolism,
One of these will make sense and one of them will not make sense. Choose the one with sensible meaning.
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