document.write( "Question 999043: When one side of the square is increased by 4 meters and the adjacent side is multiplied by 4, a rectangle is formed.The perimeter of the rectangle is 3 times the perimeter of the original square. Find the length of one side of the square. \n" ); document.write( "
Algebra.Com's Answer #616751 by macston(5194)\"\" \"About 
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\n" ); document.write( "X=original side of square
\n" ); document.write( "X+4=new width of rectangle; 4X=new length of rectangle
\n" ); document.write( "Original perimeter of square=4X
\n" ); document.write( "Perimeter of rectangle=3(4X)=12X
\n" ); document.write( ".
\n" ); document.write( "Perimeter of rectangle=2(new length x new width)
\n" ); document.write( "12X=2(4X + X + 4m)
\n" ); document.write( "6X=5X + 4m
\n" ); document.write( "X=4m
\n" ); document.write( "ANSWER: The length of the side of the original square was 4 meters
\n" ); document.write( ".
\n" ); document.write( "CHECK:
\n" ); document.write( "P=2(L+W)
\n" ); document.write( "12X=2(4X + X + 4m)
\n" ); document.write( "12(4m)=2(4(4m)+4m+4m)
\n" ); document.write( "48m=2(16m+8m)
\n" ); document.write( "48m=2(24m)
\n" ); document.write( "48m=48m
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