document.write( "Question 616611: An Aquarium holding African cichlids is 2 inches higher than it is wide. Its length is 33 inches, and its volume is 3960 cubic inches.
\n" ); document.write( "What are the height and width of the aquarium? \n" ); document.write( "
Algebra.Com's Answer #387792 by dragonwalker(73)\"\" \"About 
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let us say that the width is 'w'.
\n" ); document.write( "the height is therefore w+2\r
\n" ); document.write( "\n" ); document.write( "As Volume = height x width x length then:\r
\n" ); document.write( "\n" ); document.write( "3960 = (w+2) x w x 33\r
\n" ); document.write( "\n" ); document.write( "I always find it better to have the whole numbers to the right:\r
\n" ); document.write( "\n" ); document.write( "(w+2) x w x 33 = 3960
\n" ); document.write( "33w(w+2) = 3960
\n" ); document.write( "\"33w%5E2+%2B+66w+=+3960\"\r
\n" ); document.write( "\n" ); document.write( "\"33w%5E2+%2B+66w+-+3960+=+0\"\r
\n" ); document.write( "\n" ); document.write( "Divide each value by 33 to simplify:\r
\n" ); document.write( "\n" ); document.write( "\"w%5E2+%2B+2w+-+120+=+0\"\r
\n" ); document.write( "\n" ); document.write( "(w + 12)(w - 10) = 0\r
\n" ); document.write( "\n" ); document.write( "Therefore w = -12 or w = 10\r
\n" ); document.write( "\n" ); document.write( "as w has to be a positive number due to it being a measurement of a real length then w = 10\r
\n" ); document.write( "\n" ); document.write( "Therefore width = 10 in. and height is two more than this so = 12 in.\r
\n" ); document.write( "\n" ); document.write( "To check result\r
\n" ); document.write( "\n" ); document.write( "12 x 10 x 33 = 3960 !!!\r
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