document.write( "Question 895013: please help with this word problem.\r
\n" ); document.write( "\n" ); document.write( "1) A certain rectangle has an area 78 cm^2. If its length is decreased by 3 and its width is increased by 4, it becomes a square. Find the dimension of the original rectangle.
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Algebra.Com's Answer #542502 by reviewermath(1029)\"\" \"About 
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Q:
\n" ); document.write( "A certain rectangle has an area 78 cm^2. If its length is decreased by 3 and its width is increased by 4, it becomes a square. Find the dimension of the original rectangle.
\n" ); document.write( "A:
\n" ); document.write( "Let x = length
\n" ); document.write( "therefore, width = 78/x
\n" ); document.write( "x - 3 = \"78%2Fx+%2B+4\"
\n" ); document.write( "Multiply both sides by x
\n" ); document.write( "\"x%5E2+-+3x+=+78+%2B+4x\"
\n" ); document.write( "\"x%5E2+-+7x+-+78+=+0\"
\n" ); document.write( "(x - 13)(x + 6) = 0
\n" ); document.write( "x = 13 [disregard the negative root]
\n" ); document.write( "The length is 13 cm and the width is 6 cm.
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