document.write( "Question 966313: A homeowner hires a mason to lay a brick border around a rectangular patio that measures 8 ft by 10 ft. If the total area of the patio and border is 195 ft2, what is the width of the border? \n" ); document.write( "

Algebra.Com's Answer #590595 by macston(5194) $\"\"$ $\"About$

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\n" ); document.write( "W=width of border
\n" ); document.write( " $\"%288%2BW%29%2810%2BW%29=Area\"$
\n" ); document.write( " $\"W%5E2%2B18W%2B80=195\"$ Subtract 195 from each side.
\n" ); document.write( " $\"W%5E2%2B18W-115=0\"$
\n" ); document.write( " $\"%28W%2B23%29%28W-5%29=0\"$
\n" ); document.write( " $\"W%2B25=0\"$ $\"or\"$ $\"W-5=0\"$
\n" ); document.write( " $\"W=-25\"$ $\"or\"$ $\"W=5\"$
\n" ); document.write( "ANSWER: The width of the border is 5 feet.
\n" ); document.write( ".
\n" ); document.write( "CHECK:
\n" ); document.write( " $\"%288ft%2BW%29%2810ft%2BW%29=195ft%5E2\"$
\n" ); document.write( " $\"%288ft%2B5ft%29%2810ft%2B5ft%29=195ft%5E2\"$
\n" ); document.write( " $\"%2813ft%29%2815ft%29=195ft%5E2\"$
\n" ); document.write( " $\"195ft%5E2=195ft%5E2\"$ \r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

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