document.write( "Question 885188: Grace constructed an open box with a square base out of 192 square centimeters material. The height of the box is 4 centimeter. What is the length of the side of the base of the box? \n" ); document.write( "

Algebra.Com's Answer #535014 by KMST(5328) $\"\"$ $\"About$

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$\"x\"$ = length of each side of the square base of the box, in centimeters.
\n" ); document.write( " $\"x%5E2\"$ = surface area of the base of the box, in square centimeters.
\n" ); document.write( " $\"4x\"$ = length of the perimeter of the square base of the box, in centimeters.
\n" ); document.write( " $\"%284x%29%2A4=16x\"$ = lateral surface area of the box (all four sides), in square centimeters.
\n" ); document.write( " $\"x%5E2%2B16x=192\"$ = total surface area of the box (base plus all four sides), in square centimeters.
\n" ); document.write( "
\n" ); document.write( " $\"x%5E2%2B16x=192\"$
\n" ); document.write( " $\"x%5E2%2B16x%2B64=192%2B64\"$
\n" ); document.write( " $\"%28x%2B8%29%5E2=256\"$
\n" ); document.write( " $\"%28x%2B8%29%5E2=16%5E2\"$
\n" ); document.write( "The solutions to that equation come from
\n" ); document.write( " $\"x%2B8=16\"$ ---> $\"x=16-8\"$ ---> $\"highlight%28x=8%29\"$
\n" ); document.write( "and from $\"x%2B8=-16\"$ ---> $\"x=-16-8\"$ ---> $\"x=-24\"$ .
\n" ); document.write( "Since $\"x\"$ is the length of a side of the base (in centimeters),
\n" ); document.write( "and is expected to be a positive number,
\n" ); document.write( "the length of each side of the square base of that box is
\n" ); document.write( " $\"highlight%288%29\"$ centimeters. \n" ); document.write( "

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