If 11 × 11 = 4, 22 × 22 = 16, 33 × 33 = 36, and 44 x 44=64, then what is the value of 55 × 55?

Answer is 100.. just a different pattern.

(aa)×(aa)= (a+a)^(number of times the value a is repeated in the second bracket)

implied,

(11)×(11)= (1+1)^2=4

(22)×(22)=(2+2)^2=16

(33)×(33)=(3+3)^2=36

(44)×(44)=(4+4)^2=64

likewise,

(55)×(55)=(5+5)^2=100