document.write( "Question 551394: 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 748ft^2, determine the dimensions of the pool? Please, thank you~ :) \n" ); document.write( "
Algebra.Com's Answer #359731 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 748ft^2, determine the dimensions of the pool?
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\n" ); document.write( "\n" ); document.write( "Let w = the width of the pool
\n" ); document.write( "It said,\"The length of a rectangular swimming pool is twice its width.\" therefore
\n" ); document.write( "2w = the length of the pool
\n" ); document.write( "Area = length * width, therefore:
\n" ); document.write( "2w * w = 2w^2; the area of the pool
\n" ); document.write( ":
\n" ); document.write( "Surrounded by a 4' walk; the overall dimensions (pool & walkway):
\n" ); document.write( "(w+8) by (2w+8)
\n" ); document.write( ":
\n" ); document.write( "Overall area - pool area = walkway area (given as 748sq/ft)
\n" ); document.write( "(w+8)*(2w+8) - 2w^2 = 748
\n" ); document.write( "FOIL
\n" ); document.write( "2w^2 + 8w + 16w + 64 - 2w^2 = 748
\n" ); document.write( "combine like terms
\n" ); document.write( "2w^2 - 2w^2 + 24w = 748 - 64
\n" ); document.write( "A simple equation
\n" ); document.write( "24w = 684
\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
\n" ); document.write( ":
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\n" ); document.write( "see if this checks out.
\n" ); document.write( "find the overall area, subtract the pool area should equal the walkway area
\n" ); document.write( "(57+8)(28.5+8) = 2372.5
\n" ); document.write( ". . . . 57*28.5 = 1624.5
\n" ); document.write( "-------------------------
\n" ); document.write( "walkway area = 748
\n" ); document.write( ":
\n" ); document.write( "I tried to make this as understandable as possible, did I succeed? C
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