document.write( "Question 149344: The length of a rectangular swimming pool is twice its width. The pool is surrounded by a cement walk 4 feet wide. If the area of the walk is 748 feet^2, determine the dimensions of the pool. \n" ); document.write( "
Algebra.Com's Answer #109625 by ankor@dixie-net.com(22740)\"\" \"About 
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the length of a rectangular swimming pool is twice its width. The pool is surrounded by a cement walk 4 feet wide. If the area of the walk is 748 ft^2, determine the dimensions of the pool.
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\n" ); document.write( "Let x = the width of the pool
\n" ); document.write( "then
\n" ); document.write( "2x = the length
\n" ); document.write( "and
\n" ); document.write( "2x^2 = area of the pool
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\n" ); document.write( "Overall area including the walk = (x+8)*(2x+8) = 2x^2 + 24x + 64
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\n" ); document.write( "The equation:
\n" ); document.write( "Overall area - pool area = 748 sq/ft (walkway area)
\n" ); document.write( "(2x^2 + 24x + 64) - 2x^2 = 748
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\n" ); document.write( "24x = 748 - 64
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\n" ); document.write( "24x = 684
\n" ); document.write( "x = \"684%2F24\"
\n" ); document.write( "x = 28.5 ft width of the pool
\n" ); document.write( "and
\n" ); document.write( "2(28.5) = 57 ft, length of the pool
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\n" ); document.write( "Check solution:
\n" ); document.write( "Overall area = 65 * 36.5 = 2372.5
\n" ); document.write( "---Pool area = 57 * 28.5 = 1624.5
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\n" ); document.write( "leaving the walkway area = 748\r
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