document.write( "Question 105926: Help!\r
\n" ); document.write( "\n" ); 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)
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Algebra.Com's Answer #77077 by edjones(8007)\"\" \"About 
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A) L*w=192
\n" ); document.write( "B) 2L+2w=56
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\n" ); document.write( "B) 2L=56-2w subtract 2w from each side.
\n" ); document.write( "L=28-w divide each side by 2.
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\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
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\n" ); document.write( "Ed
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