document.write( "Question 170962: 90. Open-top box. Thomas is going to make an open-top box
\n" ); document.write( "by cutting equal squares from the four corners of an
\n" ); document.write( "11 inch by 14 inch sheet of cardboard and folding up the
\n" ); document.write( "sides. If the area of the base is to be 80 square inches, then
\n" ); document.write( "what size square should be cut from each corner? \n" ); document.write( "

Algebra.Com's Answer #126275 by checkley77(12844) $\"\"$ $\"About$

You can put this solution on YOUR website!
(11-2x)(14-2x)=80 for the base.
\n" ); document.write( "154-28x-22x+4x^2=80
\n" ); document.write( "4x^2-50x+154-80
\n" ); document.write( "4x^2-50x+74=0
\n" ); document.write( "Using the quadratic equation $\"x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+\"$ we get:
\n" ); document.write( "x=(50+-sqrt[-50^2-4*4*74])/2*4
\n" ); document.write( "x=(50+-sqrt[2,500-1,184)/8
\n" ); document.write( "x=(50+-sqrt1,316)/8
\n" ); document.write( "x=(50+-36.2767.)/8
\n" ); document.write( "x=(50-36.2767)/8
\n" ); document.write( "x=13.723/8
\n" ); document.write( "x=1.7154 in. Ans. for the square corner cut. \n" ); document.write( "

\n" );