document.write( "Question 1054231: A rectangular piece of cardboard 11 inches by 14 inches is made into a box by cutting identical squares from each corner and folding up the sides. If the bottom of the box turns out to have an area of 80 in^2, what size squares were cut from the corners?\r
\n" ); document.write( "\n" ); document.write( "The equation I am coming up with does not give me an answer that would fit. \n" ); document.write( "

Algebra.Com's Answer #669438 by jorel555(1290) $\"\"$ $\"About$

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Let n be the length of the sides of the squares cut from the box. Then:
\n" ); document.write( "(11-2n)(14-2n)=80
\n" ); document.write( "154-50n+4n²=80
\n" ); document.write( "4n²-50n+74=0
\n" ); document.write( "2n²-25n+37=0
\n" ); document.write( "Using the quadratic formula, we get n=10.7845892868 or 1.7154107132. Throwing out the higher result, we get the size of the squares to be 1.7154107132 in. x 1.7154107132 in. ☺☺☺☺ \n" ); document.write( "

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