document.write( "Question 945129: A 15ft by 15ft rectangular swimming pool is surrounded by a walkway of uniform width. If the total area of the walkway is 216ft^2, how wide is the walkway? \n" ); document.write( "

Algebra.Com's Answer #576305 by macston(5194) $\"\"$ $\"About$

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The walkway has area 216 sq ft the pool has area (15 ft)(15 ft)=225 sq ft
\n" ); document.write( "Together a total area of (216 sq ft+225 sq ft)=441 sq ft since The pool and path form a square (the pool is 15ft x 15 ft and the path uniform around it)
\n" ); document.write( "The sides (s) of the total area are
\n" ); document.write( " $\"s%5E2=441+sq+ft\"$
\n" ); document.write( " $\"s=sqrt%28441+sq+ft%29\"$ = $\"21+feet\"$
\n" ); document.write( "Each side of the total area spans the width of the path on one side then the width of the pool then the path on the other side so:
\n" ); document.write( "Total side=width of path + width of pool + width of path= 2*width of path+width of pool
\n" ); document.write( "width of path=(Total width-width of pool)/2
\n" ); document.write( "width of path=(21 feet - 15 feet)/2= 6 feet/2=3 Feet
\n" ); document.write( "ANSWER the width of the path is 3 feet \n" ); document.write( "

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