document.write( "Question 736721: A picture frame is 18 inches by 14 inches. If 221 square inches of picture shows, find the width of the frame, assuming the distance is equal all the way around. \n" ); document.write( "
Algebra.Com's Answer #449984 by josmiceli(19441)\"\" \"About 
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The area of the picture plus the frame is
\n" ); document.write( "\"+18%2A14+=+252+\" in2
\n" ); document.write( "\"+252+-+221+=+31+\" in2
\n" ); document.write( "If \"+x+\" = the width of the frame,
\n" ); document.write( "\"+A+=+18x+%2B+18x+%2B+%28+14+-+2x+%29%2Ax+%2B+%28+14+-+2x+%29%2Ax+\"
\n" ); document.write( "\"+A+=+36x+%2B+2x%2A%28+14+-+2x+%29+\"
\n" ); document.write( "\"+A+=+-4x%5E2+%2B+28x+%2B+36x+\"
\n" ); document.write( "\"+A+=+-4x%5E2+%2B+64x+\"
\n" ); document.write( "\"+-4x%5E2+%2B+64x+-+31+=+0+\"
\n" ); document.write( "Use 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( "\"+a+=+-4+\"
\n" ); document.write( "\"+b+=+64+\"
\n" ); document.write( "\"+c+=+-31+\"
\n" ); document.write( "\"+x+=+%28-64+%2B-+sqrt%28+64%5E2+-+4%2A%28-4%29%2A%28-31%29+%29%29+%2F+%282%2A%28-4%29%29+\"
\n" ); document.write( "\"+x+=+%28-64+%2B-+sqrt%28+4096+-+496+%29%29+%2F+%28-8%29+\"
\n" ); document.write( "\"+x+=+%28-64+%2B-+sqrt%28+3600+%29%29+%2F+%28-8%29+\"
\n" ); document.write( "\"+x+=+%28+-64+%2B+60+%29+%2F+%28-8%29+\"
\n" ); document.write( "\"+x+=+1%2F2+\"
\n" ); document.write( "and, the other answer is:
\n" ); document.write( "\"+x+=+%28+-64+-+60+%29+%2F+%28-8%29+\"
\n" ); document.write( "\"+x+=+15.5+\" ( impossible for width of frame )
\n" ); document.write( "The width of the frame is 1/2 in
\n" ); document.write( "check:
\n" ); document.write( "\"+A+=+36x+%2B+2x%2A%28+14+-+2x+%29+\"
\n" ); document.write( "\"+A+=+36%2A%281%2F2%29+%2B+2%2A%281%2F2%29%2A%28+14+-+2%2A%281%2F2%29+%29+\"
\n" ); document.write( "\"+A+=+18+%2B+1%2A%28+13+%29+\"
\n" ); document.write( "\"+A+=+31+\"
\n" ); document.write( "OK\r
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