document.write( "Question 123332: Thomas is going to make an open -top box by cutting squares from four coners of an 11 inch by 14 inch sheet of cardboard and folding up the sides. If the area of the base is to be 80 ibches, then what size square should be cut from each corner? \n" ); document.write( "

Algebra.Com's Answer #90517 by josmiceli(19441) $\"\"$ $\"About$

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He starts with an area of $\"11%2A14+=+154\"$ in2
\n" ); document.write( "The area of the bottom is to be $\"80\"$ in2
\n" ); document.write( "The area of the sides and the removed corners is $\"154+-+80+=+74\"$
\n" ); document.write( "If I call the side of the removed square $\"x\"$ ,
\n" ); document.write( "then the four sides plus the four removed squares is
\n" ); document.write( " $\"4x%5E2+%2B+2%2A%2811+-+2x%29+%2B+2%2A%2814+-+2x%29+=+74\"$
\n" ); document.write( " $\"4x%5E2+%2B+22+-+4x+%2B+28+-+4x+=+74\"$
\n" ); document.write( " $\"4x%5E2+-+8x+%2B+50+=+74\"$
\n" ); document.write( " $\"4x%5E2+-+8x+-+24+=+0\"$
\n" ); document.write( " $\"x%5E2+-+2x+-+6+=+0\"$
\n" ); document.write( "solve by completing the square
\n" ); document.write( " $\"x%5E2+-+2x+%2B+1+=+7\"$
\n" ); document.write( " $\"%28x+-+1%29%5E2+=+7\"$
\n" ); document.write( " $\"x+=+1+%2B+sqrt%287%29\"$ in answer
\n" ); document.write( "or, using calculator,
\n" ); document.write( " $\"x+=+3.646\"$ in \n" ); document.write( "

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