document.write( "Question 173103: The length of a rectangular park is 2 times greater than its width.\r
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document.write( "The park is framed by sidewalk that is 2 m wide.\r
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document.write( "The area of the park is increased by 136m square if the sidewalk is included.\r
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document.write( "What is the area of the park without the surrounding sidewalk ?\r
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document.write( "Show the work.
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Algebra.Com's Answer #127943 by checkley77(12844)![]() ![]() ![]() You can put this solution on YOUR website! L=2W \n" ); document.write( "AREA OF PARK=LW \n" ); document.write( "AREA OF PARK=2W*W=2W^2 \n" ); document.write( "AREA WITH SIDEWALK=(2W+2*2)(W+2*2) \n" ); document.write( "AREA WITH SIDEWALK=(2W+4)(W+4) \n" ); document.write( "AREA WITH SIDEWALK=2W^2+12W+16 \n" ); document.write( "(2W^2+12W+16)-(2W^2)=136 \n" ); document.write( "12W=136-16 \n" ); document.write( "12W=120 \n" ); document.write( "W=10 M. \n" ); document.write( "L=2*10=20 M. \n" ); document.write( "PROOF: \n" ); document.write( "20*10=200 M^2 FOR THE PARK \n" ); document.write( "(20+4)(10+4)=200+136 M^2 FOR THE PARK PLUS THE SIDEWALK. \n" ); document.write( "24*14=336 \n" ); document.write( "336=336\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |