document.write( "Question 1154363: A field is 4 times as long as it is wide. From corner to corner the field is 150 meters. What is the perimeter \n" ); document.write( "

Algebra.Com's Answer #776783 by ikleyn(52781) $\"\"$ $\"About$

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document.write( "Let W be the width (in meters).\r\n" );
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document.write( "Then the length is 4W.\r\n" );
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document.write( "The Pythagorean equation for the diagonal is\r\n" );
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document.write( "    W^2 + (4W)^2 = 150^2,   or\r\n" );
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document.write( "    W^2 + 16W^2 = 22500,\r\n" );
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document.write( "    17W^2       = 22500\r\n" );
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document.write( "    W^2         = 22500/17 = 1323.529\r\n" );
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document.write( "    W =  = 36.38 meters.\r\n" );
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document.write( "So, the width is 36.38 meters;  Hence, the length is 4*36.38 = 145.52 meters.\r\n" );
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document.write( "By knowing dimensions, you can easily find the perimeter.\r\n" );
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