document.write( "Question 622263: the length and width of a rectangle are consecutive even integers. the area of the rectangle is 48 square units. how long is the longest side of the rectangle? \n" ); document.write( "

Algebra.Com's Answer #391241 by matineesuxxx(27) $\"\"$ $\"About$

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area of a rectangle is given by the formula $\"A=L%2AW\"$ \r
\n" ); document.write( "\n" ); document.write( "now when 2 numbers are consecutive, then if you let the smaller number be 'X' then the next number is going to be 'X+1' \r
\n" ); document.write( "\n" ); document.write( "so \r
\n" ); document.write( "\n" ); document.write( " $\"L%2AW+=+X%2A%28X%2B1%29+=+48\"$ \r
\n" ); document.write( "\n" ); document.write( "this is a quadratic, so now you get,\r
\n" ); document.write( "\n" ); document.write( " $\"X%5E2%2BX-48=0\"$ \r
\n" ); document.write( "\n" ); document.write( "now solve for the zeros. you cant have a negative length so take the positive x, then plug it into X+1 \n" ); document.write( "

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