document.write( "Question 1203492: The perimeter of the rectangular playing field is 538 yards. The length of the field is 6 yards less than quadruple the width. What are the dimensions of the playing​ field? \n" ); document.write( "
Algebra.Com's Answer #839103 by MathLover1(20849)\"\" \"About 
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\n" ); document.write( "\n" ); document.write( "The perimeter of the rectangular playing field is 538 yards. The length of the field is 6 yards less than quadruple the width. What are the dimensions of the playing​ field?\r
\n" ); document.write( "\n" ); document.write( " let the length of the field be \"L\" and the width \"W\"\r
\n" ); document.write( "\n" ); document.write( "The perimeter of the rectangular playing field is:\r
\n" ); document.write( "\n" ); document.write( "\"P=2%28L%2BW%29\" \r
\n" ); document.write( "\n" ); document.write( "\"538=2%28L%2BW%29\" ...eq.1\r
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\n" ); document.write( "\n" ); document.write( "if the length of the field is \"6\" yards less than quadruple the width, we have\r
\n" ); document.write( "\n" ); document.write( "\"L=4W-6\"\r
\n" ); document.write( "\n" ); document.write( "substitute in eq.1\r
\n" ); document.write( "\n" ); document.write( "\"538=2%284W-6%2BW%29\"\r
\n" ); document.write( "\n" ); document.write( "\"538%2F2=5W-6\"\r
\n" ); document.write( "\n" ); document.write( "\"269=5W-6\"\r
\n" ); document.write( "\n" ); document.write( "\"269%2B6=5W\"\r
\n" ); document.write( "\n" ); document.write( "\"275=5W\"\r
\n" ); document.write( "\n" ); document.write( "\"W=275%2F5\"\r
\n" ); document.write( "\n" ); document.write( "\"W=55\"\r
\n" ); document.write( "\n" ); document.write( "then\r
\n" ); document.write( "\n" ); document.write( "\"L=4%2A55-6\"\r
\n" ); document.write( "\n" ); document.write( "\"L=214\"\r
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\n" ); document.write( "\n" ); document.write( "the dimensions of the playing​ field: \"214yd\" by \"55yd\"\r
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\n" ); document.write( "\n" ); document.write( "check the perimeter:\r
\n" ); document.write( "\n" ); document.write( "\"538=2%28214%2B55%29\" ...eq.1\r
\n" ); document.write( "\n" ); document.write( "\"538=2%28269%29\"\r
\n" ); document.write( "\n" ); document.write( "\"538=538\"=> true\r
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