document.write( "Question 946478: I was wondering how I can translate this word problem into algebraic expression:\r
\n" ); document.write( "\n" ); 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.
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Algebra.Com's Answer #577836 by macston(5194)\"\" \"About 
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( "\"Area=3W%5E2\" Plug in value for W from above
\n" ); document.write( "\"Area=3%282.5m%29%5E2\"
\n" ); document.write( "\"Area=3%286.25sqm%29\"
\n" ); document.write( "Area=18.75 sq m ANSWER 2: Area is 18.75 square meters
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\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
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