turkey-yks 2018 Q34

turkey-yks · Other · yks-tyt Not Maths
A rectangular piece of paper is first folded along the line AB parallel to the short side in the direction of the arrow as shown in Figure 1, then folded along the line CD parallel to the long side in the direction of the arrow as shown in Figure 2, obtaining Figure 3.
The rectangles formed in the final shape have areas $a$, $b$, $c$ and $d$ square units.
Accordingly, which of the following is the expression of the area of the paper used initially in terms of $a$, $b$, $c$ and $d$?
A) $a + 2b + 3c + 4d$
B) $a + 2b + 2c + 2d$
C) $a + 2b + 2c + 3d$
D) $a + 2b + 4c + 2d$
E) $2a + 2b + 2c + 2d$
A rectangular piece of paper is first folded along the line AB parallel to the short side in the direction of the arrow as shown in Figure 1, then folded along the line CD parallel to the long side in the direction of the arrow as shown in Figure 2, obtaining Figure 3.

The rectangles formed in the final shape have areas $a$, $b$, $c$ and $d$ square units.

Accordingly, which of the following is the expression of the area of the paper used initially in terms of $a$, $b$, $c$ and $d$?

A) $a + 2b + 3c + 4d$\\
B) $a + 2b + 2c + 2d$\\
C) $a + 2b + 2c + 3d$\\
D) $a + 2b + 4c + 2d$\\
E) $2a + 2b + 2c + 2d$