document.write( "Question 32024: The frame of a picture is 28cm by 32cm outside and is of the uniform width. What is the width of the frame if 192cm^2 of the picture shows? \n" ); document.write( "

Algebra.Com's Answer #18542 by Paul(988) $\"\"$ $\"About$

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Let the width be x:
\n" ); document.write( "28+x and 32+x
\n" ); document.write( "Equation:
\n" ); document.write( "(28-2x)(32-2x)=192
\n" ); document.write( "89-120x+4x^2=192
\n" ); document.write( " $\"4x%5E2-120x%2B704\"$
\n" ); document.write( " $\"x%5E2-30x%2B176\"$
\n" ); document.write( "Use the quardratic formula:
\n" ); document.write( " $\"x=%28-%28-30%29%2B-sqrt%28%28-30%29%5E2-4%2A1%2A176%29%29%2F2\"$ -->Remove negative:
\n" ); document.write( " $\"x=%2830%2B14%29%2F2\"$
\n" ); document.write( "x=22
\n" ); document.write( "Hence, the unifrom width is 22cm.
\n" ); document.write( "Paul. \n" ); document.write( "

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