Let each side of smallest square of chess board is one unit in length.
(i)Find the total number of squares of side length equal to 3 and whose side parallel to side of chess board.
(ii)Find the sum of area of all possible squares whose side parallel to side of chess board.
(iii)Find the total number of rectangles (including squares) whose side parallel to side of chess board.
Text Solution
Verified by ExpertsCHECK THE SOLUTION.
(i)36 (ii)1968 (iii)1296
Sol. (i) Obvious
(ii) ( 8 2 × 1 2 ) + ( 7 2 × 2 2 ) + ( 6 2 × 2 2 ) + ............ + ( 1 2 × 8 2 ) = 1968
(iii) 9 C 2 × 9 C 2 = 1296
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