A point selected inside a pentagon is connected to the midpoints of the sides of the pentagon and to one vertex as shown in the figure. In this case, the regions formed are painted in different colors and the areas of these regions are written in square units on the figure.
According to this, what is the difference A - B?
A) 1
B) 1.5
C) 2
D) 2.5
E) 3

In a plane, three circles with radius r are constructed with the vertices of a right triangle $ABC$ as centers, and these circles do not intersect each other. The lengths of the parts on the sides of the triangle that are not inside these circles are given as 2 units, 3 units, and 5 units. Accordingly, what is the total area of the regions inside the circles but outside the triangle in square units?
A) $6 \pi$
B) $8 \pi$
C) $9 \pi$
D) $\frac { 9 \pi } { 2 }$
E) $\frac { 15 \pi } { 2 }$

In the figure, a semicircle with center A and radius $[AC]$ and a semicircle with center B and radius $[BC]$ are given. Point B is on the circle centered at A, and point A is on the circle centered at B.
Accordingly, what is the area of the shaded region in square units?
A) $36\pi$
B) $42\pi$
C) $48\pi$
D) $54\pi$
E) $60\pi$

Zeynep, who wants to prepare a cargo package, takes a right prism shaped cardboard box with a square base and a lid on its top surface as shown in Figure 1.
After placing what she wants to send in the box, Zeynep uses two blue colored bands, each with a width of 1 unit, to close the box. These two bands are parallel to the edges of the prism as shown in Figure 2, and each completely wraps around two side faces and the top face, excluding the bottom face. The total area covered by the bands on the surfaces of the prism is 25 square units.
Given that the total area of the outer surface of this box is 182 square units, what is the volume of the box in cubic units?
A) 100 B) 108 C) 147 D) 192 E) 196

An equilateral triangle with red-colored sides and an equilateral triangle with blue-colored sides are drawn such that one vertex of each is on a side of the other triangle, as shown in the figure.
In the resulting figure, the area of the yellow-colored triangle equals 4 times the area of the gray-colored triangle.
Accordingly, what is the ratio of the area of the triangle with red-colored sides to the area of the triangle with blue-colored sides?
A) $\frac{2}{3}$ B) $\frac{5}{6}$ C) $\frac{8}{9}$ D) $\frac{25}{27}$ E) $\frac{25}{36}$

In the figure, point $C$ is on the line segment $[AB]$, point $D$ is on the semicircle with diameter $[AB]$, and $m(\widehat{BAD}) = 18^{\circ}$.
In the figure, the area of the yellow-colored region equals 4 times the area of the blue-colored region. Accordingly, what is the ratio $\frac{|AC|}{|BC|}$?
A) $\frac{3}{2}$ B) $\frac{5}{3}$ C) $\frac{7}{4}$ D) $\frac{7}{5}$ E) $\frac{9}{5}$