document.write( "Question 666646: The length of a rectangular swimming pool is twice its width. The pool is surrounded by a cement walk 4ft wide. If the area of the walk is 748 feet squared, determine the dimensions of the pool. \n" ); document.write( "
Algebra.Com's Answer #414770 by ankor@dixie-net.com(22740)\"\" \"About 
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The length of a rectangular swimming pool is twice its width.
\n" ); document.write( " The pool is surrounded by a cement walk 4ft wide.
\n" ); document.write( " If the area of the walk is 748 feet squared, determine the dimensions of the pool.
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\n" ); document.write( "Let L = the length of the pool
\n" ); document.write( "Let W = the width
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\n" ); document.write( "Overall dimensions including the cement walk, a 4' walk adds 8' to the dimensions
\n" ); document.write( "(L+8) by (W+8)
\n" ); document.write( "\"The length is twice the width, therefore we can write the overall dimension:
\n" ); document.write( "(2w+8) by (w+8)
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\n" ); document.write( "Overall area - pool area = walk area (748 sq/ft)
\n" ); document.write( "(2W+8)*(w+8) - 2w*w = 748
\n" ); document.write( "2w^2 + 16w + 8w + 64 - 2w^2 = 748
\n" ); document.write( "combine like terms
\n" ); document.write( "2w^2 - 2w^2 + 24w = 748 - 64
\n" ); document.write( "24w = 684
\n" ); document.write( "w = 684/24
\n" ); document.write( "w = 28.5 ft is the width of the pool
\n" ); document.write( "and
\n" ); document.write( "2(28.5) = 57 ft is the length of the pool
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\n" ); document.write( "See if that checks out:; Overall dimensions will be 65 by 36.5:
\n" ); document.write( "(65*36.5) - (57*28.5) =
\n" ); document.write( "2372.5 - 1624.5 = 748; confirms our solution: pool is 57 by 28.5 ft
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\n" ); document.write( "Hey, did this make sense to you? C
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