document.write( "Question 945726: 9. A picture frame has thickness x, and the dimensions of the unframed picture are 18in x 24in. If the area of the picture and frame together is 720 square inches, find the thickness of the frame. \n" ); document.write( "
Algebra.Com's Answer #576884 by josmiceli(19441)\"\" \"About 
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The area of the picture plus the frame is:
\n" ); document.write( "\"+%28+x+%2B+18+%29%2A%28+x+%2B+24+%29+=+720+\" in2
\n" ); document.write( "\"+x%5E2+%2B+18x+%2B+24x+%2B+432+=+720+\"
\n" ); document.write( "\"+x%5E2+%2B+42x+-+288+=+0+\"
\n" ); document.write( "Use quadratic equation
\n" ); document.write( "\"+x+=+%28+-b+%2B-+sqrt%28+b%5E2+-+4%2Aa%2Ac+%29%29+%2F+%282%2Aa%29+\"
\n" ); document.write( "\"+a+=+1+\"
\n" ); document.write( "\"+b+=+42+\"
\n" ); document.write( "\"+c+=+-288+\"
\n" ); document.write( "\"+x+=+%28+-42+%2B-+sqrt%28+42%5E2+-+4%2A1%2A%28-288%29+%29%29+%2F+%282%2A1%29+\"
\n" ); document.write( "\"+x+=+%28+-42+%2B-+sqrt%28+1764+%2B+1152+%29%29+%2F+2+\"
\n" ); document.write( "\"+x+=+%28+-42+%2B-+sqrt%28+2916+%29%29+%2F+2+\"
\n" ); document.write( "\"+x+=+%28+-42+%2B+54+%29+%2F+2+\"
\n" ); document.write( "\"+x+=+12%2F2+\"
\n" ); document.write( "\"+x+=+6+\"
\n" ); document.write( "The frame is 6 in wide
\n" ); document.write( "check:
\n" ); document.write( "\"+%28+x+%2B+18+%29%2A%28+x+%2B+24+%29+=+720+\"
\n" ); document.write( "\"+%28+6+%2B+18+%29%2A%28+6+%2B+24+%29+=+720+\"
\n" ); document.write( "\"+24%2A30+=+720+\"
\n" ); document.write( "\"+720+=+720+\"
\n" ); document.write( "OK
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