document.write( "Question 857589: The length of a rectangular garden is 10 feet longer than its width. The garden's perimeter is 192 feet. Find the length of the garden. \n" ); document.write( "
Algebra.Com's Answer #516690 by JulietG(1812)![]() ![]() You can put this solution on YOUR website! The perimeter fence around the garden is 192. That represents 2 pieces of length and 2 pieces of width. \n" ); document.write( "2L + 2W = 192 \n" ); document.write( "L = W + 10 \n" ); document.write( "Substitute the value of L in the second equation into the first. \n" ); document.write( "2(W+10) + 2W = 192 \n" ); document.write( "2W + 20 + 2W = 192 \n" ); document.write( "4W + 20 = 192 \n" ); document.write( "4W = 172 \n" ); document.write( "W = 43 \n" ); document.write( "If the width is 43, then the length is 53. \n" ); document.write( ". \n" ); document.write( "Check by building a fence. \n" ); document.write( "43+43+53+53=192 \n" ); document.write( "Add \n" ); document.write( "192 = 192 \n" ); document.write( "Success! \n" ); document.write( " \n" ); document.write( " |