document.write( "Question 618240: If the sides of a square are decreased by 4.5 cm the area is decreased by 50cm^2. What were the dimensions of the orginial square? Round the answer to the first decimal place. \n" ); document.write( "

Algebra.Com's Answer #388772 by josmiceli(19441) $\"\"$ $\"About$

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Let $\"s\"$ = a side of the original square
\n" ); document.write( "Let $\"A\"$ = the original area of the square
\n" ); document.write( "given:
\n" ); document.write( " $\"+A+=+s%5E2+\"$
\n" ); document.write( " $\"+A+-+50+=+%28+s+-+4.5+%29%5E2+\"$
\n" ); document.write( "---------------------
\n" ); document.write( "By substitution:
\n" ); document.write( " $\"+s%5E2+-+50+=+s%5E2+-+9s+%2B+20.25+\"$
\n" ); document.write( " $\"+9s+=+50+%2B+20.25+\"$
\n" ); document.write( " $\"+s+=+70.25%2F9+\"$
\n" ); document.write( " $\"+s+=+7.8056+\"$
\n" ); document.write( "The original square is 7.8056 x 7.8056 cm2
\n" ); document.write( "check:
\n" ); document.write( " $\"+A+-+50+=+%28+s+-+4.5+%29%5E2+\"$
\n" ); document.write( " $\"+60.927+-+50+=+%28+7.8056+-+4.5+%29%5E2%0D%0A%7B%7B%7B+10.927+=+3.3056%5E2+\"$
\n" ); document.write( " $\"+10.927+=+10.927+\"$
\n" ); document.write( "OK \n" ); document.write( "

\n" );