document.write( "Question 936425: The perimeter of a rectangle is 26cm. The rectangle is converted to a square by tripling the width and taking a quater of the length. What is the perimeter of the resulting square? \n" ); document.write( "

Algebra.Com's Answer #569877 by Fombitz(32388) $\"\"$ $\"About$

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$\"2%28L%2BW%29=26\"$
\n" ); document.write( " $\"L%2BW=13\"$
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\n" ); document.write( " $\"3W=L%2F4\"$
\n" ); document.write( " $\"W=L%2F12\"$
\n" ); document.write( "Substituting into the perimeter equation.
\n" ); document.write( " $\"L%2BL%2F12=13\"$
\n" ); document.write( " $\"%2812%2F12%29L%2BL%2F12=13\"$
\n" ); document.write( " $\"%2813%2F12%29L=13\"$
\n" ); document.write( " $\"L=12\"$
\n" ); document.write( " $\"12%2BW=13\"$
\n" ); document.write( " $\"W=1\"$
\n" ); document.write( "So originally the rectangle was 12x1.
\n" ); document.write( "To get the square side, triple the width.
\n" ); document.write( " $\"S=3%281%29=3\"$
\n" ); document.write( "So the perimeter of the square is,
\n" ); document.write( " $\"P%5Bs%5D=4%283%29\"$
\n" ); document.write( " $\"P%5Bs%5D=12\"$ $\"cm\"$
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