document.write( "Question 5142: please help\r
\n" );
document.write( "\n" );
document.write( "The length of a rectangle is 4 centimeters less than twice the width. Find the dimensions of the rectangle if the area is 96 square centimeters. \n" );
document.write( "
Algebra.Com's Answer #2627 by guapa(62) ![]() You can put this solution on YOUR website! You need the area formula for a rectangle. A = lw \n" ); document.write( "We have the value for the area which is 96 \n" ); document.write( "The length is 4cm less than twice the width. Let w = width then l=2w-4 \n" ); document.write( "Now we can substitue into the formula: \n" ); document.write( "96=(2w-4)w \n" ); document.write( "96=2w²-4w \n" ); document.write( "2w²-4w-96=0 \n" ); document.write( "2w²-16w+12w-96=0 \n" ); document.write( "2w(w-8)+12(w-8)=0 \n" ); document.write( "(2w+12)(w-8)=0 \n" ); document.write( "2w+12=0, w= -12/2= -6 \n" ); document.write( "w-8=0, w=8 \n" ); document.write( "Since we are looking for dimensions of a rectangle we can disgard the negative solution. \n" ); document.write( "w=8 and 2w-4=l , 2(8)-4=l, 12=l \n" ); document.write( "The dimension for the rectangle is 12 by 8 cm. \n" ); document.write( "Check it A=l*w = 12*8=96 \n" ); document.write( " |