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.
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Algebra.Com's Answer #2627 by guapa(62)\"\" \"About 
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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
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