document.write( "Question 787638: Grade 8 question
\n" ); document.write( "A rectangular lawn,4m by 4m, has a path around it that is the same width everywhere. The area of the path is 1.25 times as big as the area of the other lawn. What is the width of the path? \n" ); document.write( "
Algebra.Com's Answer #478293 by ankor@dixie-net.com(22740)\"\" \"About 
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A rectangular lawn, 4m by 4m, has a path around it that is the same width everywhere.
\n" ); document.write( " The area of the path is 1.25 times as big as the area of the other lawn.
\n" ); document.write( " What is the width of the path?
\n" ); document.write( ":
\n" ); document.write( "4 * 4 = 16 sq/m the area of the garden
\n" ); document.write( "then
\n" ); document.write( "1.25(16) = 20 sq/m the area of the path
\n" ); document.write( "therefore
\n" ); document.write( "16 + 20 = 36 sq/m total area of the path and the garden
\n" ); document.write( ":
\n" ); document.write( "Let x = the width of the path, 2x is added to the overall dimensions
\n" ); document.write( "The area is square, therefore:
\n" ); document.write( "(2x+4)^2 = 36
\n" ); document.write( "Find the square root of both sides
\n" ); document.write( "2x + 4 = 6
\n" ); document.write( "2x = 6 - 4
\n" ); document.write( "2x = 2
\n" ); document.write( "x = 1 meter is the width of the path
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