turkey-yks 2020 Q36

turkey-yks · Other · yks-tyt Sine and Cosine Rules Multi-step composite figure problem
In the square-shaped paper ABCD given in Figure 1, $|\mathrm{DE}| = 6$ and $|\mathrm{BF}| = 9$ units. When this paper is folded along the line segments $[\mathrm{CE}]$ and $[\mathrm{CF}]$ as shown in the figure, the BC side and DC side of the square coincide as shown in Figure 2.
Accordingly, what is the perimeter of square ABCD in units?
A) 64
B) 68
C) 72
D) 76
E) 80
In the square-shaped paper ABCD given in Figure 1, $|\mathrm{DE}| = 6$ and $|\mathrm{BF}| = 9$ units. When this paper is folded along the line segments $[\mathrm{CE}]$ and $[\mathrm{CF}]$ as shown in the figure, the BC side and DC side of the square coincide as shown in Figure 2.

Accordingly, what is the perimeter of square ABCD in units?\\
A) 64\\
B) 68\\
C) 72\\
D) 76\\
E) 80