document.write( "Question 1207564: The area of a playground is 153 m square if the length of the playground is decreased by 4 m and the breadth is increased by 4 m if playground become a square decide of the square in metre is \n" ); document.write( "
Algebra.Com's Answer #845503 by greenestamps(13200)\"\" \"About 
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\n" ); document.write( "We can work the problem \"backwards\": start with the square of side length x, then increase one dimension by 4m and decrease the other by 4m to get a rectangular playground with area 153 m^2.

\n" ); document.write( "\"%28x-4%29%28x%2B4%29=153\"
\n" ); document.write( "\"x%5E2-16=153\"
\n" ); document.write( "\"x%5E2=169\"
\n" ); document.write( "\"x=13\"

\n" ); document.write( "ANSWER: the side length of the square is 13m

\n" ); document.write( "CHECK: (x-4)(x+4) = (13-4)(13+4) = 9*17 = 153

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