document.write( "Question 420958: If the length of one side of a square is increased by 4 centimeters and the length of an adjacent side is multiplied by 4, the perimeter of the resulting rectangle is 3 times the perimeter of the square. Find the length of a side of the original square. \n" ); document.write( "
Algebra.Com's Answer #294046 by ankor@dixie-net.com(22740)\"\" \"About 
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If the length of one side of a square is increased by 4 centimeters and the
\n" ); document.write( " length of an adjacent side is multiplied by 4, the perimeter of the resulting
\n" ); document.write( " rectangle is 3 times the perimeter of the square.
\n" ); document.write( "Find the length of a side of the original square.
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\n" ); document.write( "Let x = the side of the square
\n" ); document.write( "then
\n" ); document.write( "(x+4) = one side of the rectangle
\n" ); document.write( "and
\n" ); document.write( "4x = the adjacent side of the rectangle
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\n" ); document.write( "Rect perimeter = 3 time sq perimeter
\n" ); document.write( "2(x+4) + 2(4x) = 3(4x)
\n" ); document.write( "2x + 8 + 8x = 12x
\n" ); document.write( "10x + 8 = 12x
\n" ); document.write( "8 = 12x - 10x
\n" ); document.write( "8 = 2x
\n" ); document.write( "x = 4 cm is the side of the original square
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\n" ); document.write( "Check this; (rect is 8 by 16)
\n" ); document.write( "2(8) + 2(16) = 3(16)
\n" ); document.write( "16 + 32 = 48
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