document.write( "Question 864308: A rectangular photo of dimensions 8 cm by 9 cm is placed in a picture frame of uniform width on all sides. The resulting total area (picture and frame) is 210 square cm.
\n" ); document.write( "What is the width of the picture frame? \n" ); document.write( "

Algebra.Com's Answer #520902 by josgarithmetic(39617) $\"\"$ $\"About$

You can put this solution on YOUR website!
w for frame width\r
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\n" ); document.write( "\n" ); document.write( " $\"%288%2B2w%29%289%2B2w%29=210\"$ ----Area calculation
\n" ); document.write( " $\"2%2A2%284%2Bw%29%284.5%2Bw%29=210\"$
\n" ); document.write( " $\"2%28w%2B4%29%28w%2B4.5%29=105\"$
\n" ); document.write( " $\"%28w%2B4%29%282w%2B9%29=105\"$
\n" ); document.write( " $\"2w%5E2%2B17w%2B36=105\"$
\n" ); document.write( " $\"2w%5E2%2B17w-69=0\"$
\n" ); document.write( "Probably factorable; checking;
\n" ); document.write( "discrim, 17^2-4*2(-69)=289+8*69=841=29*29
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\n" ); document.write( " $\"highlight%28%282w%2B23%29%28w-3%29=0%29\"$
\n" ); document.write( "The width that makes sense is $\"highlight%28highlight%28w=3%29%29\"$ . \n" ); document.write( "

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