document.write( "Question 626847: A rectangular garden is twice as long as it is wide and is surrounded by a sidewalk, that is 4 ft wide. The area of the sidewalk is 256 ft2. Find the dimensions of the garden. \n" ); document.write( "
Algebra.Com's Answer #394522 by KMST(5328)\"\" \"About 
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Let \"x\" be the width of the garden (in feet).
\n" ); document.write( "Since the garden is twice as long as it is wide,
\n" ); document.write( "its length must be \"2x\".
\n" ); document.write( "With one piece of sidewalk on each side,
\n" ); document.write( "the dimensions (in feet) of the garden plus sidewalk are
\n" ); document.write( "\"width=x%2B4%2B4=x%2B8\" and
\n" ); document.write( "\"length=2x%2B4%2B4=2x%2B8\"
\n" ); document.write( "It would look like this:
\n" ); document.write( "
\n" ); document.write( "The area (in square feet) of the whole thing is
\n" ); document.write( "\"length%2Awidth=%282x%2B8%29%28x%2B8%29=2x%5E2%2B16x%2B8x%2B64=2x%5E2%2B24x%2B64\"
\n" ); document.write( "The area of the garden part only is
\n" ); document.write( "\"%282x%29%28x%29=2x%5E2\"
\n" ); document.write( "The difference is the area (in square feet) of the sidewalk only,
\n" ); document.write( "\"2x%5E2%2B24x%2B64-2x%5E2=256\" --> \"24x%2B64=256\"
\n" ); document.write( "Subtracting 64 from both sides of the equal sign we get
\n" ); document.write( "\"24x%2B64=256\" --> \"24x%2B64-64=256-64\" --> \"24x=192\"
\n" ); document.write( "Dividing both sides of the equal sign by 24 we get
\n" ); document.write( "\"24x=192\" --> \"24x%2F24=192%2F24\" --> \"highlight%28x=8%29\"
\n" ); document.write( "The garden is \"highlight%288%29\" feet wide, and \"2x=2%2A8=highlight%2816%29\" feet long
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