document.write( "Question 384591: A 50 meter by 120 meter park consists of a rectangular lawn surrounded by a path of uniform width. Find the dimensions of the lawn if its area is the same as the area of the path. \n" ); document.write( "
Algebra.Com's Answer #272326 by edjones(8007)\"\" \"About 
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50*120=6000 area of (path + lawn)
\n" ); document.write( "area of lawn=3000
\n" ); document.write( "(120-x)(50-x)=3000
\n" ); document.write( "x^2-170x+6000=3000
\n" ); document.write( "x^2-170x+3000=0
\n" ); document.write( "(x-20)(x-150)=0
\n" ); document.write( "x=20 m twice the width of the path
\n" ); document.write( "100 m * 30 m dimensions of the lawn.
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