document.write( "Question 875359: A square with an area of 144 square centimeters was increased in length, but not width, until the resulting rectangle had a perimeter that was 4 times the perimeter of the original square. By how many square centimeters did the area of the figure increase? \n" ); document.write( "
Algebra.Com's Answer #528129 by ankor@dixie-net.com(22740)\"\" \"About 
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A square with an area of 144 square centimeters was increased in length, but not width, until the resulting rectangle had a perimeter that was 4 times the perimeter of the original square.
\n" ); document.write( " By how many square centimeters did the area of the figure increase?
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\n" ); document.write( "Let a = increase in length\r
\n" ); document.write( "\n" ); document.write( "The square root of 144 is 12 cm, the original side of the square
\n" ); document.write( "then
\n" ); document.write( "(a+12) = the increased length
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\n" ); document.write( "4(12) = 48 cm is the original perimeter
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\n" ); document.write( "The equation for the new perimeter
\n" ); document.write( "2(12) + 2(a+12) = 4(48)
\n" ); document.write( "24 + 2a + 24 = 192
\n" ); document.write( "2a = 192 - 48
\n" ); document.write( "2a = 144
\n" ); document.write( "a = 144/2
\n" ); document.write( "a = 72 is the amt added to the length
\n" ); document.write( "therefore
\n" ); document.write( "72+12 = 84 is the new length
\n" ); document.write( "and
\n" ); document.write( "84*12 = 1008 sq/cm is the area
\n" ); document.write( "1004 - 144 = 864 sq/cm increase in area when the perimeter is increased 4 times
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