document.write( "Question 29806: This is the problem:\r
\n" ); document.write( "\n" ); document.write( "\"A garden area is 30ft long and 20ft wide. A path of uniform width is set around the edge. If the remaining garden area is 400ft(squared), what is the width of the path?\"\r
\n" ); document.write( "\n" ); document.write( "My biggest challenge with this word problem is how to set it up using the quadratic equation. If I could figure out the values for a, b and c, than I could finish the problem.
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Algebra.Com's Answer #16532 by longjonsilver(2297)\"\" \"About 
You can put this solution on YOUR website!
OK...with questions like these...a diagram is a MUST!\r
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\n" ); document.write( "\n" ); document.write( "Draw a rectangle (i shall call it ABCD but you do not need to label it) and then a slightly larger one around it (i shall call it KLMN but you do not need to label it).\r
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\n" ); document.write( "\n" ); document.write( "The outer rectangle, KLMN, is the garden.
\n" ); document.write( "The inner rectangle, ABCD, is the lawn? whatever it is...the Q doesn't say.\r
\n" ); document.write( "\n" ); document.write( "The path is the \"pathlike\" area between the 2 rectangles.\r
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\n" ); document.write( "\n" ); document.write( "LABELLING
\n" ); document.write( "OK, label lengths of KLMN as 20 and 30.
\n" ); document.write( "Label the width of the path as x.\r
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\n" ); document.write( "\n" ); document.write( "So... width of long edge of inner rectangle is 30 less 2 x's --> (30-2x)
\n" ); document.write( "and the width of the short edge of inner rectangle is 20 less 2 x's --> (20-2x).\r
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\n" ); document.write( "\n" ); document.write( "And we know that the area of the inner rectangle is 400. So we have\r
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\n" ); document.write( "\n" ); document.write( "(30-2x)(20-2x) = 400
\n" ); document.write( "\"+600+-+60x+-+40x+%2B+4x%5E2+=+400+\"
\n" ); document.write( "\"+600+-+100x+%2B+4x%5E2+=+400+\"
\n" ); document.write( "\"+200+-+100x+%2B+4x%5E2+=+0+\"
\n" ); document.write( "\"+4x%5E2+-+100x+%2B+200+=+0+\"
\n" ); document.write( "\"+x%5E2+-+25x+%2B+50+=+0+\"\r
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\n" ); document.write( "\n" ); document.write( "solve this to find x.\r
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\n" ); document.write( "\n" ); document.write( "jon.
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