A square with side length a units is divided into a total of eight squares, seven of which are congruent, and the resulting large square is called $\mathrm { K } _ { 1 }$ (Figure 1). Then the square $\mathrm { K } _ { 1 }$ is similarly divided to obtain square $\mathrm { K } _ { 2 }$ (Figure 2). When square $\mathrm { K } _ { 2 }$ is similarly divided, the resulting square $\mathrm { K } _ { 3 }$ has a side length of 27 units. Accordingly, what is a? A) 36 B) 49 C) 64 D) 81 E) 100
A square with side length a units is divided into a total of eight squares, seven of which are congruent, and the resulting large square is called $\mathrm { K } _ { 1 }$ (Figure 1). Then the square $\mathrm { K } _ { 1 }$ is similarly divided to obtain square $\mathrm { K } _ { 2 }$ (Figure 2).\\
When square $\mathrm { K } _ { 2 }$ is similarly divided, the resulting square $\mathrm { K } _ { 3 }$ has a side length of 27 units.
Accordingly, what is a?\\
A) 36\\
B) 49\\
C) 64\\
D) 81\\
E) 100