document.write( "Question 858189: A rectangle has a perimeter of 34 cm and an area of 52 cm2. Its length is 5 more than twice its width. What are the dimensions of the rectangle? \n" ); document.write( "
Algebra.Com's Answer #517091 by lwsshak3(11628)![]() ![]() ![]() You can put this solution on YOUR website! A rectangle has a perimeter of 34 cm and an area of 52 cm2. Its length is 5 more than twice its width. What are the dimensions of the rectangle? \n" ); document.write( "*** \n" ); document.write( "let x=width \n" ); document.write( "2x+5=length\r \n" ); document.write( "\n" ); document.write( "2(length+width)=perimeter \n" ); document.write( "2(x+2x+5)=34 \n" ); document.write( "6x+10=34 \n" ); document.write( "6x=24 \n" ); document.write( "x=4 \n" ); document.write( "width=4 \n" ); document.write( "length=2x+5=13 \n" ); document.write( "... \n" ); document.write( "length * width=area \n" ); document.write( "x(2x+5)=52 \n" ); document.write( "2x^2+5x=52 \n" ); document.write( "2x^2+5x-52=0 \n" ); document.write( "(x-4)(2x+13)=0 \n" ); document.write( "x=4 \n" ); document.write( "width=4 \n" ); document.write( "length=13 \n" ); document.write( " |