document.write( "Question 1157356: The length of a certain rectangle is 4 feet greater than the width. If the length is decreased by 3 feet and the width is increased by 5 feet, the area will increased by 21 square feet. What were the dimensions of the rectangle? \n" ); document.write( "
Algebra.Com's Answer #780210 by VFBundy(438)\"\" \"About 
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Width = w
\n" ); document.write( "Length = w + 4
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\n" ); document.write( "(w + 5)((w + 4) - 3) = w(w + 4) + 21
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\n" ); document.write( "(w + 5)(w + 1) = w² + 4w + 21
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\n" ); document.write( "w² + 6w + 5 = w² + 4w + 21
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\n" ); document.write( "6w + 5 = 4w + 21
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\n" ); document.write( "2w = 16
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\n" ); document.write( "w = 8
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\n" ); document.write( "Width = w = 8
\n" ); document.write( "Length = w + 4 = 4 + 8 = 12
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