document.write( "Question 134416: The width of a painting is 4 inches less than the length, and the surface area is 320 square inches. Find the leng \n" ); document.write( "
Algebra.Com's Answer #98311 by vleith(2983)\"\" \"About 
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What is the formula for the area of a rectangle? Area = length * width.\r
\n" ); document.write( "\n" ); document.write( "Let length = l.
\n" ); document.write( "Given: width = length - 4, Area = 320
\n" ); document.write( "\"A+=+l%2Aw\"
\n" ); document.write( "\"A+=+l+%2A+%28l-4%29\"
\n" ); document.write( "\"320+=+l%5E2+-4l\"
\n" ); document.write( "\"0+=+l%5E2+-4l+-+320\"
\n" ); document.write( "\"0+=+%28l+%2B+16%29%28l+-+20%29\"
\n" ); document.write( "l = -16 , l = 20.\r
\n" ); document.write( "\n" ); document.write( "Since the length cannot be negative, the only solution that 'makes sense' is l = 20.\r
\n" ); document.write( "\n" ); document.write( "Check your answer. If l = 20, then width = 20-4 = 16. Is the area 320?
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