Brain Teasers
Mad Ade's Grid #2
Mad Ade has drawn another grid, this time it is 20 squares by 10 squares.
How many different squares and rectangles(combined figure not individual) can be found in that grid?
How many different squares and rectangles(combined figure not individual) can be found in that grid?
Answer
11550Total number of Squares/rectangles = (Summation of row numbers) * (Summation of column numbers)
Here there are 20 rows and 10 columns or vice versa. Hence, total possible squares/rectangles
= ( 20 + 19 + 18 + 17 + 16 + .... + 3 + 2 + 1 ) * ( 10 + 9 +8 + 7 + .... + 3 + 2 + 1)
= ( 210 ) * (55)
= 11550
Hence, total 11,550 different rectangles are possible.
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