Problem: Point EEE is on side ABA BAB of square ABCDA B C DABCD. If EBE BEB has length one and ECE CEC has length two, then the area of the square is
Answer Choices:
A. 3\sqrt{3}3​
B. 5\sqrt{5}5​
C. 333
D. 232 \sqrt{3}23​
E. 555
Solution:
12+(BC)2=221^{2}+(B C)^{2}=2^{2}12+(BC)2=22; Area =(BC)2=3=(B C)^{2}=3=(BC)2=3.