document.write( "Question 105926: Help!\r
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document.write( "A rectangle has an area of 192 and a perimeter of 56. Find the dimensions for length and width. (A = Lw & P = 2L + 2W) \n" );
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Algebra.Com's Answer #77077 by edjones(8007)![]() ![]() You can put this solution on YOUR website! A) L*w=192 \n" ); document.write( "B) 2L+2w=56 \n" ); document.write( ". \n" ); document.write( "B) 2L=56-2w subtract 2w from each side. \n" ); document.write( "L=28-w divide each side by 2. \n" ); document.write( ". \n" ); document.write( "A) w(28-w)=192 replace L with 28-w \n" ); document.write( "28w-w^2=192 \n" ); document.write( "-w^2+28w-192=0 \n" ); document.write( "w^2-28w+192=0 multiply each side by -1 \n" ); document.write( "(w-12)(w-16)=0 \n" ); document.write( "w=12, w=16 \n" ); document.write( "Either number can be L and the other can be w. \n" ); document.write( "Check: \n" ); document.write( "12*16=192 \n" ); document.write( "24+32=56 \n" ); document.write( ". \n" ); document.write( "Ed \n" ); document.write( " |