document.write( "Question 1056747: The outside of a picture frame measures 14 in by 19 in. 150 in squared of the picture shows. Find the thickness of the frame. \n" ); document.write( "
Algebra.Com's Answer #671828 by josmiceli(19441)\"\" \"About 
You can put this solution on YOUR website!
I'll assume a uniform thickness all around
\n" ); document.write( "\"+%28+14+-+2x+%29%2A%28+19+-+2x+%29+=+150+\"
\n" ); document.write( "\"+266+-+38x+-+28x+%2B+4x%5E2+=+150+\"
\n" ); document.write( "\"+4x%5E2+-+66x+%2B+116+=+0+\"
\n" ); document.write( "\"+2x%5E2+-+33x+%2B+58+=+0++\"
\n" ); document.write( "Use the 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+=+2+\"
\n" ); document.write( "\"+b+=+-33+\"
\n" ); document.write( "\"+c+=+58+\"
\n" ); document.write( "\"+x+=+%28+-%28-33%29+%2B-+sqrt%28+%28-33%29%5E2+-+4%2A2%2A58+%29%29+%2F+%282%2A2%29+\"
\n" ); document.write( "\"+x+=+%28+33+%2B-+sqrt%28+1089+-+464+%29%29+%2F+4+\"
\n" ); document.write( "\"+x+=+%28+33+%2B-+sqrt%28+625+%29%29+%2F+4+\"
\n" ); document.write( "\"+x+=+%28+33+-+25+%29+%2F+4+\" ( using the positive square root gives an impossible answer )
\n" ); document.write( "\"+x+=+8%2F4+\"
\n" ); document.write( "\"+x+=+2+\"
\n" ); document.write( "The thickness of the frame is 2 inches
\n" ); document.write( "-----------------
\n" ); document.write( "check:
\n" ); document.write( "\"+%28+14+-+2x+%29%2A%28+19+-+2x+%29+=+150+\"
\n" ); document.write( "\"+%28+14+-+2%2A2+%29%2A%28+19+-+2%2A2+%29+=+150+\"
\n" ); document.write( "\"+%28+14+-+4+%29%2A%28+19+-+4+%29+=+150+\"
\n" ); document.write( "\"+10%2A15+=+150+\"
\n" ); document.write( "\"+150+=+150+\"
\n" ); document.write( "OK\r
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