document.write( "Question 210414: what is the step by step solution to \"A poster is 25 cm taller than it is wide. It is mounted on a piece of particle board so that there is a 5 cm border on all sides. If the area of the border alone is 1350 cm squared, what are the dimensions of the poster?\" \n" ); document.write( "
Algebra.Com's Answer #159014 by josmiceli(19441)\"\" \"About 
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Let the width of the poster =
\n" ); document.write( "\"w\" cm
\n" ); document.write( "The height then =
\n" ); document.write( "\"w+%2B+25\" cm
\n" ); document.write( "given:
\n" ); document.write( "The area of the border is \"1350\" cm2
\n" ); document.write( "The width of the particle board will =
\n" ); document.write( "\"w+%2B+5+%2B+5+=+w+%2B+10\" cm
\n" ); document.write( "The height of the particle board will =
\n" ); document.write( "\"w+%2B+25+%2B+5+%2B+5+=+w+%2B+35\" cm
\n" ); document.write( "The area of the particle board =
\n" ); document.write( "\"%28w+%2B+10%29%28w+%2B+35%29\" cm2
\n" ); document.write( "The area of the poster =
\n" ); document.write( "\"%28w+%2B+10%29%28w+%2B+35%29+-+1350\" cm2
\n" ); document.write( "The area of the poster is also
\n" ); document.write( "\"w%2A%28w+%2B+25%29\"
\n" ); document.write( "\"w%2A%28w+%2B+25%29+=+%28w+%2B+10%29%28w+%2B+35%29+-+1350\" cm2
\n" ); document.write( "\"w%5E2+%2B+25w+=+w%5E2+%2B+45w+%2B+350+-+1350\"
\n" ); document.write( "\"25w+=+45w+-+1000\"
\n" ); document.write( "\"20w+=+1000\"
\n" ); document.write( "\"w+=+50\" cm
\n" ); document.write( "\"w+%2B+25+=+75\" cm
\n" ); document.write( "The dimensions of the poster are 50 cm x 75 cm
\n" ); document.write( "check:
\n" ); document.write( "\"w%2A%28w+%2B+25%29+=+%28w+%2B+10%29%28w+%2B+35%29+-+1350\" cm2
\n" ); document.write( "\"50%2A%2850+%2B+25%29+=+%2850+%2B+10%29%2850+%2B+35%29+-+1350\"
\n" ); document.write( "\"50%2A75+=+60%2A85+-+1350\"
\n" ); document.write( "\"3750+=+5100+-+1350\"
\n" ); document.write( "\"3750+=+3750\"
\n" ); document.write( "OK\r
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