Algebra.Com's Answer #781653 by Shin123(626)  You can put this solution on YOUR website! Let the length and width of the rectangle be l and w, respectively. We have . Substituting l-16 for w in the second equation, we get . Expanding and rearranging, we get . \n" );
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document.write( " Solved by pluggable solver: Completing the Square for Quadratics | \n" );
document.write( "To complete the square for the quadratic , we must first find a square which when expanded, has x2 and -16x in it. \n" );
document.write( " is the square we are looking for. Expanding gets . So we have . So completing the square gives .\n" );
document.write( " Adding 74 from both sides, we get . Taking the square root of both sides gives . So the solutions are x=16.6023252670426 and x=-0.602325267042627. | \n" );
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document.write( " We pick the positive solution, . So the length is . The width is . \n" );
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