document.write( "Question 29806: This is the problem:\r
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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
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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. \n" );
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Algebra.Com's Answer #16532 by longjonsilver(2297)![]() ![]() You can put this solution on YOUR website! OK...with questions like these...a diagram is a MUST!\r \n" ); document.write( " \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 \n" ); document.write( " \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 \n" ); document.write( " \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 \n" ); document.write( " \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 \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "And we know that the area of the inner rectangle is 400. So we have\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "(30-2x)(20-2x) = 400 \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "solve this to find x.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "jon. \n" ); document.write( " \n" ); document.write( " |