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bazaltina [42]
3 years ago
5

Find the number of rectangles in 8×8 chessboard. (not just the 1x1 squares)

Mathematics
1 answer:
Gekata [30.6K]3 years ago
8 0

Answer:

288

Step-by-step explanation:

<em>                                             Number of rectangles</em>

<em>____________________________________________________________</em>

1 × 1 squares 9-1 = 1 = 8*8 = 64

1 × 2 squares 9-2 = 7 = 8*7 = 56

1 × 3 squares 9-3 = 6 = 8*6 = 48

1 × 4 squares 9-4 = 5 = 8*5 = 40

1 × 5 squares 9-5 = 4 = 8*4 =32

1 × 6 squares 9-6 = 3 = 8*3 = 24

1 × 7 squares 9-7 = 2 = 8*2 = 16

1 × 8 squares 9-8 = 1 = 8*1 = 8

64 + 56 + 48 + 40 + 32 + 24 + 16 + 8 = 288

<em>Thus,</em>

<em>the number of squares on a chessboard is 228.</em>

<em />

<em>Hope this helps :)</em>

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