document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=19784>Question 19784</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Here is the question below. I need to define the variable for x and y, write the appropriate equations, and solve the equation by either substitution, addition, or graphically. We were given multiple word problems and I am down to the last five and this is one of them. THX! \r<BR>\n" );
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document.write( "- The perimeter of a rectangle is 112m. If the width were doubled and the length were increased by 23m, the perimeter would be 232m. What are the length and width of the rectangle? </SPAN>\n" );
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document.write( "The perimeter of a rectangle is 112m. If the width were doubled and the length were increased by 23m, the perimeter would be 232m. What are the length and width of the rectangle?<BR>\n" );
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document.write( "let the length be x and the width be y<BR>\n" );
document.write( "perimeter=2(x+y)=112 metres<BR>\n" );
document.write( "2(x+y)=112<BR>\n" );
document.write( "x+y=56....[1]<BR>\n" );
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document.write( "if the width were doubled,new width=2y<BR>\n" );
document.write( "length were increased by 23 m, new length=(x+23)<BR>\n" );
document.write( "new perimeter=2(2y+x+23)=(4y+2x+46)=232 metres<BR>\n" );
document.write( "4y+2x+46=232<BR>\n" );
document.write( "4y+2x=232-46<BR>\n" );
document.write( "2x+4y=186<BR>\n" );
document.write( "x+2y=93....[2]<BR>\n" );
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document.write( "Taking equations 1 and 2 together we get,<BR>\n" );
document.write( "x+y=56<BR>\n" );
document.write( "x+2y=93<BR>\n" );
document.write( "subtract equation[1] from [2]<BR>\n" );
document.write( "x+2y-(x+y)=93-56<BR>\n" );
document.write( "x+2y-x-y=93-56<BR>\n" );
document.write( "2y-y=37<BR>\n" );
document.write( "y=37<BR>\n" );
document.write( "<P><BR>\n" );
document.write( "x+y=56<BR>\n" );
document.write( "x=56-y=56-37=19<BR>\n" );
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document.write( "x=19 metres,y=37 metres<BR>\n" );
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document.write( "Hope this helps,<BR>\n" );
document.write( "Prabhat </SPAN>\n" );
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