document.write( "Question 362589: Please help me here: \"The perimeter of a rectangular sign is 58cm and its area is 204cm^2. Find the length and width of the sign.\" If you may, please provide a step by step process so i can learn how to do it, instead of just getting the answer. \n" ); document.write( "
Algebra.Com's Answer #258457 by checkley77(12844) ![]() You can put this solution on YOUR website! 2L+2W=58 FOR THE PERIMETER. \n" ); document.write( "LW=204 FOR THE AREA. \n" ); document.write( "L=204/W NOW REPLACE L WITH (204/W) IN THE FIRST EQUATION & SOLVE FOR W. \n" ); document.write( "2(204/W)+2W=58 \n" ); document.write( "408/W+2W=58 \n" ); document.write( "(408+2W*W)/W=58 \n" ); document.write( "(408+2W^2)/W=58 CROSS MULTIPLY. \n" ); document.write( "2W^2+408=58*W \n" ); document.write( "2W^2+408=58W \n" ); document.write( "2W^2-58W+408=0 \n" ); document.write( "2(W^2-29W+204)=0 \n" ); document.write( "(W-17)(W-12)=0 \n" ); document.write( "W-17=0 \n" ); document.write( "W=17 ANS. \n" ); document.write( "W-12=0 \n" ); document.write( "W=12 ANS. \n" ); document.write( "L=204/17=12 ANS. \n" ); document.write( "L=204/12=17 ANS. \n" ); document.write( "PROOF: \n" ); document.write( "12*17=204 \n" ); document.write( "204=204 \n" ); document.write( " |