Sarthaks Test
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A rectangle with sides 2m-1 and 2n-1 is divided into squares of unit length by drawing Parallel lines as shown in the diagram then the no. of rectangles possible with odd side length is _______

(a) mn(m+1)(n+1) 

(b) m2n2 

(c) (m+n+1)2

(d) 4m+n-1

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Best answer

Correct option: (b) m2n2


Number of ways of selecting verticle sides

= 1 + 3 + 5 + .....+ (2n - 1) = n2 

Number of ways of selecting horizontal sides

= m2 

∴ Number of rectangles = m2n2

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