<PRE><B>Question 9498</B>
Let x = length of the rectangle
x-12 = width of the rectangle
2x + 2(x-12) = original perimeter
2x + 2x - 24  or 4x - 24 = original perimeter


New rectangle
x + 30 = new length
x - 12 + 30 = x+ 18 = new width
2(x+30) + 2 (x+ 18) = new perimeter
2x + 60 + 2x + 36 or 4x + 96 = new perimeter


THE EQUATION:

New perimter = 2* original perimeter
4x + 96 = 2( 4x - 24)
4x + 96 = 8x - 48
-4x = -144
x= 36  = original length
x - 12 = 36- 12 = 24 = original width


ANSWER:  Origianl rectangle is 24 by 36 


Check:  New perimeter = twice original perimeter:
Perimeter = 2(36) + 2(24) = 72 + 48 = 120


New rectangle length = 36 + 30 = 66
New rectangle width = 24 + 30 = 54 
Perimeter = 2(66) + 2(54) = 132 + 108 = 140   


R^2 at SCC</PRE>