document.write( "Question 946478: I was wondering how I can translate this word problem into algebraic expression:\r
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document.write( "A rectangle has a perimeter of 20.0m. Given that it's length is 3.00 times it's breadth, find the breadth and it's area. \n" );
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Algebra.Com's Answer #577836 by macston(5194)![]() ![]() You can put this solution on YOUR website! Let W=Width; Let L=Length=3W; Let P=Perimeter=2(L+W)=20m; Area=L*W \n" ); document.write( "Substitute for L in perimeter equation to get an equation you can solve for W: \n" ); document.write( "P=2(L+W) \n" ); document.write( "20m=2(3W+W) \n" ); document.write( "20m=2(4W) \n" ); document.write( "20m=8W \n" ); document.write( "2.5m=W ANSWER 1 Width (breadth)=2.5m \n" ); document.write( "Here we can find the area using width, or continue to find length (see after --OR-- below) \n" ); document.write( "AREA: METHOD 1: \n" ); document.write( "Area=L*W Substitute for L \n" ); document.write( "Area=3W*W \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "Area=18.75 sq m ANSWER 2: Area is 18.75 square meters \n" ); document.write( " \n" ); document.write( " --OR--\r \n" ); document.write( "\n" ); document.write( "AREA: METHOD 2: \n" ); document.write( "Substitute W value in perimeter equation to find length(L): \n" ); document.write( "P=2(L+W) \n" ); document.write( "20m=2(L+2.5m) \n" ); document.write( "20m=2L+5.0m Subtract 3m from each side \n" ); document.write( "15m=2L Divide each side by 2 \n" ); document.write( "7.5m=L \n" ); document.write( "Find Area: \n" ); document.write( "Area=L*W=7.5m*2.5m=18.75 sq m.ANSWER 2: Area is 18.75 square meters \n" ); document.write( " \n" ); document.write( " |