document.write( "Question 1086698: The owners would like to install a wood border around a stone floor, as shown in the picture below. They have determined that the area of wood necessary is given by the polynomial 4w2+70w, where w represents the width of the wood border. The owners can only afford 74 square feet of wood. Determine the width of the wood border. Hint: set the area of the wood equal to 74 and solve the resulting quadratic equation. \n" ); document.write( "

Algebra.Com's Answer #700914 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"+4w%5E2+%2B+70w++=+74+\"$
\n" ); document.write( "complete the square
\n" ); document.write( " $\"+w%5E2+%2B+%2835%2F2%29%2Aw+=+37%2F2+\"$
\n" ); document.write( " $\"+w%5E2+%2B+%28+35%2F2+%29%2Aw+%2B+%28+35%2F4%29%5E2+=+%28+35%2F4+%29%5E2+%2B+37%2F2+\"$
\n" ); document.write( " $\"+%28+w+%2B+%2835%2F4%29+%29%5E2+=+1225%2F16+%2B+296%2F16+\"$
\n" ); document.write( " $\"+%28+w+%2B+%2835%2F4%29+%29%5E2+=+1521%2F16+\"$
\n" ); document.write( " $\"+w+%2B+35%2F4+=+39%2F4+\"$
\n" ); document.write( " $\"+w+=+1+\"$
\n" ); document.write( "The width of the border is 1 ft
\n" ); document.write( "------------------------------
\n" ); document.write( "check:
\n" ); document.write( " $\"+4w%5E2+%2B+70w++=+74+\"$
\n" ); document.write( " $\"+4%2A1%5E2+%2B+70%2A1++=+74+\"$
\n" ); document.write( " $\"+4+%2B+70+=+74+\"$
\n" ); document.write( "OK
\n" ); document.write( " \n" ); document.write( "

\n" );