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In my investigation of how squares grow I will be trying to work out equations which help me find the perimeter, new growth area and area without having to draw out the shapes.  

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Gary Mc Geown S1B PROBLEM Here is one way a square can grow. Investigate. Introduction In my investigation of how squares grow I will be trying to work out equations which help me find the perimeter, new growth area and area without having to draw out the shapes. I will also be trying to find relationships between: Stage number and perimeter, Stage number and new growth area And Stage number and area. The stage number is my independent variable. I am going to use letters instead of words to make the equations shorter and easier to understand. Stage number (n) Perimeter (p) New growth area (g) Area (a) Results These are the results from my diagrams of growing squares on the previous pages. Stage number (n) Perimeter (cm) (p) New growth Area(cm2) (g) Area(cm2) (a) 1 12 4 5 2 20 8 13 3 28 12 25 4 36 16 41 5 44 20 61 I can clearly see from the table that by multiplying the stage number (n) by four you...

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