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PATYUSH MAKKAR

1. recall about how many translation a side with a certain dimension can go through before it touches the border. for example a rectangle with side 1*2 can go 4 side or 5 up before it touches the border.to find the total we just multiply the two to get 4*5=20(20 1*2 rectangles)

case I – they are rectangles

since a 4*5 rectangle I the same as 5*4 rectangle in a square grid we just consider the two as one and then multiply two to the result

the quick way is by making a list of how much a dimension can go

1- 5

2-4

3-3

4-2

5-1

since we just have to consider 10 dimensions and multiply the result by two we get 2(85)=170

case 2-they are squares

since there are 5(6)(11)/6 we get 55 possible squares

addin the two cases we get 55+170 =225 possible rectangles