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Louis Franks 10PC 10X2 10/12/01 Opposite Corners Wx L Difference Increase Wx L Difference Increase 2 x 3 20 10 6 x 3 100 50 2 x 4 30 10 6 x 4 150 50 2 x 5 40 10 6 x 5 200 50 2 x 6 50 10 6 x 6 250 50 2 x 7 60 10 6 x 7 300 50 2 x 8 70 10 6 x 8 350 50 2 x 9 80 10 6 x 9 400 50 2 x 10 90 10 6 x 10 450 50 We are investigating the difference between the products of the numbers in the opposite corners of any rectangles that can be put on a 100 square. 2 x 3 Rectangles 1 2 3 11 12 13 To keep things simple I have started with rectangles with a width of 2 squares. I kept the width to two squares and increased the length by one square. (see results table above). I discovered that the width increases by 10 every time the length increases by 1. The difference can be worked out for all rectangles with a width of 2 squares by using several formulas: 1. (Length - 1 x 10 = Z) 3 - 1x 10 = 20 = Z Then (Width x Z...

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