document.write( "Question 1160885: A rectangular billboard sign has a length that is four yards longer than twice its width, x If the area of the sign is 30 square yards, which equation could be used to find the dimensions in yards of the sign? \n" ); document.write( "
Algebra.Com's Answer #784290 by MathLover1(20850)\"\" \"About 
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\n" ); document.write( "A rectangular billboard sign has a length that is four yards longer than twice its width, x If the area of the sign is 30 square yards, which equation could be used to find the dimensions in yards of the sign?\r
\n" ); document.write( "\n" ); document.write( "if a billboard sign length is \"4yd\" longer than twice its width we have\r
\n" ); document.write( "\n" ); document.write( "\"L=2W%2B4yd\" .........eq.1\r
\n" ); document.write( "\n" ); document.write( "if its area is \"30yd%5E2\", we have\r
\n" ); document.write( "\n" ); document.write( "\"L%2AW=30yd%5E2\"........eq.2\r
\n" ); document.write( "\n" ); document.write( "substitute \"L\" from eq.1 in eq.2\r
\n" ); document.write( "\n" ); document.write( "\"%282W%2B4yd%29%2AW=30yd%5E2\"............solve for \"W\"\r
\n" ); document.write( "\n" ); document.write( "\"2W%5E2%2B4yd%2AW=30yd%5E2\"\r
\n" ); document.write( "\n" ); document.write( "\"2W%5E2%2B4yd%2AW-30yd%5E2=0\"...simplify, divide by \"2\"\r
\n" ); document.write( "\n" ); document.write( "\"W%5E2%2B2yd%2AW-15yd%5E2=0\"........ factor completely\r
\n" ); document.write( "\n" ); document.write( "\"W%5E2-3yd%2AW%2B5yd%2AW-15yd%5E2=0\"\r
\n" ); document.write( "\n" ); document.write( "\"%28%28W%5E2-3yd%2AW%29%2B%285yd%2AW-15yd%5E2%29%29=0\"\r
\n" ); document.write( "\n" ); document.write( "\"W%28W-3yd%29%2B5yd%28W-3yd%29=0\"\r
\n" ); document.write( "\n" ); document.write( "\"%28W+-+3yd%29+%28W+%2B+5yd%29+=+0+=+0\"\r
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\n" ); document.write( "\n" ); document.write( "=> \"%28W+-+3yd%29+=+0\"->\"W+=+3yd\"
\n" ); document.write( "=> \"%28W+%2B5yd%29+=+0\"->\"W+=+-5yd\"->disregard negative solution\r
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\n" ); document.write( "\n" ); document.write( "go to \"L=2W%2B4yd\" .........eq.1, substitute \"W\"\r
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\n" ); document.write( "\n" ); document.write( "\"L=2%2A3yd%2B4yd\" \r
\n" ); document.write( "\n" ); document.write( "\"L=10yd\" \r
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\n" ); document.write( "\n" ); document.write( " so, the dimensions of the rectangular billboard sign are:\r
\n" ); document.write( "\n" ); document.write( "the length: \"10yd\" \r
\n" ); document.write( "\n" ); document.write( "the width: \"3yd\"\r
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