Question

A chess board has dimensions as 8*8 cm^2. Then find out the number of squares which have sides along the lines on chess board and area's as odd numbers?
A. 84
B. 48
C. 35
D. 204

Answer 1

Answer:

204

Step-by-step explanation:

this case we have just counted 1*1 squares. What about the 2*2 squares, 3*3 squares, 4*4 squares and so on?

Number of 1*1 squares= 8*8=64

Number of 2*2 squares= 7*7=49

Number of 3*3 squares= 6*6=36

Number of 4*4 squares= 5*5=25

Number of 5*5 squares= 4*4=16

Number of 6*6 squares= 3*3=9

Number of 7*7 squares= 2*2=4

Number of 8*8 squares= 1*1=1

Total number of Squares= 64+49+36+25+16+9+4+1=204