document.write( "Question 221212: A picture 16 inches by 25 inches is to be mounted on a piece of matboard so that there is an even amount of mat all around the picture. How wide will the border be if the area of the mounted picture is 792 square inches? \n" ); document.write( "
Algebra.Com's Answer #165993 by josmiceli(19441)\"\" \"About 
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Let the width of the border around
\n" ); document.write( "the picture = \"x\"
\n" ); document.write( "I can express the width of the mat as
\n" ); document.write( "\"16+%2B+x\" and the length as
\n" ); document.write( "\"25+%2B+x\"
\n" ); document.write( "\"%2816+%2B+x%29%2A%2825+%2B+x%29+=+792\"
\n" ); document.write( "\"400+%2B+25x+%2B+16x+%2B+x%5E2+=+792\"
\n" ); document.write( "\"x%5E2+%2B+41x+-+392+=+0\"
\n" ); document.write( "Solve using quadratic formula
\n" ); document.write( "\"x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+\"
\n" ); document.write( "\"x+=+%28-41+%2B-+sqrt%28+41%5E2-4%2A1%2A%28-392%29+%29%29%2F%282%2A1%29+\"
\n" ); document.write( "\"x+=+%28-41+%2B-+sqrt%28+1681+%2B+1568+%29%29%2F2+\"
\n" ); document.write( "\"x+=+%28-41+%2B-+sqrt%28+3249+%29%29%2F2+\"
\n" ); document.write( "\"x+=+%28-41+%2B-+57%29%2F2+\"
\n" ); document.write( "\"x+=+16%2F2\"
\n" ); document.write( "\"x+=+8\" (reject the negative solution)
\n" ); document.write( "The border will be 8 in wide
\n" ); document.write( "check answer:
\n" ); document.write( "\"%2816+%2B+x%29%2A%2825+%2B+x%29+=+792\"
\n" ); document.write( "\"%2816+%2B+8%29%2A%2825+%2B+8%29+=+792\"
\n" ); document.write( "\"24%2A33+=+792\"
\n" ); document.write( "\"792+=+792\"
\n" ); document.write( "OK
\n" ); document.write( "
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