document.write( "Question 10210: Here is the question:\r
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\n" ); document.write( "\n" ); document.write( "If the length of a rectangular field is 8 feet more than double its width. Find the dimensions of the filed if its area is 540 square feet?\r
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\n" ); document.write( "\n" ); document.write( "I know you have to use A = l * w, but how do you start. I started like this:\r
\n" ); document.write( "\n" ); document.write( "540 = (8 + x) ( x^2)\r
\n" ); document.write( "\n" ); document.write( "would it then be : 540 = 8x + x^2? \r
\n" ); document.write( "\n" ); document.write( "Then do you have to subtract 540 from the left side to bring it to the right?\r
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\n" ); document.write( "\n" ); document.write( " 8x + x^2 - 540 = 0\r
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\n" ); document.write( "\n" ); document.write( "I'm lost. Please help. I appreciate all your help. Thank you.
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Algebra.Com's Answer #5399 by Earlsdon(6294)\"\" \"About 
You can put this solution on YOUR website!
Well, you've got the right idea!\r
\n" ); document.write( "\n" ); document.write( "A = L*W but L = 2W+8 Because the length (L) is 8 ft more (+8) than twice the width (2W).\r
\n" ); document.write( "\n" ); document.write( "\"%282W%2B8%29%28W%29+=+540\"
\n" ); document.write( "\"2W%5E2+%2B+8W+=+540\" Subtract 540 from both sides.
\n" ); document.write( "\"2W%5E2+%2B+8W+-+540+=+0\" Solve this quadratic for W. Factor a 2 to simplify it a bit.\r
\n" ); document.write( "\n" ); document.write( "\"w%5E2+%2B+4W+-+270+=+0\" Since this doesn't factor you can solve it by using the quadratic formula: \"W=%28-b%2B-sqrt%28b%5E2-4ac%29%29%2F2a\"\r
\n" ); document.write( "\n" ); document.write( "Here, a = 1, b = 4, and c = -270.\r
\n" ); document.write( "\n" ); document.write( "\"W+=+%28-4%2B-sqrt%284%5E2-4%2A1%2A%28-270%29%29%29%2F%282%2A1%29\"\r
\n" ); document.write( "\n" ); document.write( "\"W+=+%28-4%2B-sqrt%2816%2B1080%29%29%2F2\"\r
\n" ); document.write( "\n" ); document.write( "\"W+=+%28-4%2B-sqrt%281096%29%29%2F2\"\r
\n" ); document.write( "\n" ); document.write( "\"W+=+-2%2B%281%2F2%29%2833.106%29\" or \"W+=+-2-%281%2F2%29%2833.106%29\"\r
\n" ); document.write( "\n" ); document.write( "\"W+=+-2%2B16.55\" or \"W+=+-2-16.55\"\r
\n" ); document.write( "\n" ); document.write( "\"W+=+14.55\" or \"W+=+-18.55\" Discard the 2nd solution as width can only be positive. Note: \"sqrt%281096%29+=+33.1058907145\" approx, so I rounded it to 33.106 Finally:
\n" ); document.write( " The length = 2W+8 = 2(14.55)+8 = 29.1+8 = 37.1 ft.
\n" ); document.write( "The width = 14.55 ft.\r
\n" ); document.write( "\n" ); document.write( "Check:\r
\n" ); document.write( "\n" ); document.write( "A = L*W = (37.1)(14.55) = 539.805 sq.ft. which is pretty darn close to 540 sq.ft. \r
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