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Investigation into Numerical 4 by 4 Squares - page 5

Keywords: Investigation into Numerical 4 by 4 Squares maths Formula, maths sqaure formula

By Mose. on 01/09/2008

Level: GCSE Key Stage 4 (Years 10-11)

Page Number: 5 of 5   pages: 1 2 3 4 5

X 3 = 12 Therefore : 12 X 10 = 120

As you can see my formula clearly worked, and gave me the correct difference of one hundred and twenty.

I am now going to prove my results algebraically for a 2 X 3 rectangle.

x x+2
x+10 x+12
Therefore : x(x+12) = (x+2)(x+10) =
x² + 12x x² + 20x + 2x +20 =
x² + 22x + 20

This clearly shows that no matter what the value of x maybe in a 2 X 3 rectangle the difference is always going to be twenty.

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Investigation into Numerical 4 by 4 Squares- page 5

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