document.write( "Question 194497This question is from textbook
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document.write( ": Write the perimeter formula of a rectangle, and then substitute the following conditions into the formula: The perimeter of a rectangular garden is 100 feet, and the length of the garden in 12 feet more than the width. Use x to represent the width. \n" );
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Algebra.Com's Answer #145974 by doukungfoo(195)![]() ![]() You can put this solution on YOUR website! The perimeter formula of a rectangle is 2 times its length plus 2 times its width. \n" ); document.write( "2(length) + 2(width) = perimeter \n" ); document.write( "We are told to use x to represent the width. \n" ); document.write( "And that the length is 12 feet more than the width. So: \n" ); document.write( "the length = x + 12 \n" ); document.write( "We are also given the perimeter is 100 feet so if we substitute all this information in to the perimeter formula we get: \n" ); document.write( "2(x + 12) + 2x = 100\r \n" ); document.write( "\n" ); document.write( "Now you can solve for width x \n" ); document.write( "2(x + 12) + 2x = 100 \n" ); document.write( "2x + 24 + 2x = 100 \n" ); document.write( "4x + 24 = 100 \n" ); document.write( "4x = 76 \n" ); document.write( "x = 19 \n" ); document.write( "So the width is 19 feet \n" ); document.write( "and to find the length \n" ); document.write( "length = x + 12 \n" ); document.write( "length = 19 + 12 \n" ); document.write( "length = 31 \n" ); document.write( "So the length is 31 feet\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |