To decorate the facade of a building, an architect designed the placement of stained glass windows composed of squares with side measuring 1 m, as shown in the following figure. In this figure, points A, B, C and D are midpoints of the sides of the square and segments AP and QC measure $1/4$ of the side length of the square. To make a stained glass window, two types of materials are used: one for the shaded part of the figure, which costs $\mathrm{R}\$ 30.00$ per $\mathrm{m}^{2}$, and another for the lighter part (regions ABPDA and BCDQB), which costs $\mathrm{R}\$ 50.00$ per $\mathrm{m}^{2}$. According to these data, what is the cost of materials used in the manufacture of a stained glass window? (A) $\mathrm{R}\$ 22.50$ (B) $\mathrm{R}\$ 35.00$ (C) $\mathrm{R}\$ 40.00$ (D) $\mathrm{R}\$ 42.50$ (E) $\mathrm{R}\$ 45.00$
To decorate the facade of a building, an architect designed the placement of stained glass windows composed of squares with side measuring 1 m, as shown in the following figure.
In this figure, points A, B, C and D are midpoints of the sides of the square and segments AP and QC measure $1/4$ of the side length of the square. To make a stained glass window, two types of materials are used: one for the shaded part of the figure, which costs $\mathrm{R}\$ 30.00$ per $\mathrm{m}^{2}$, and another for the lighter part (regions ABPDA and BCDQB), which costs $\mathrm{R}\$ 50.00$ per $\mathrm{m}^{2}$.
According to these data, what is the cost of materials used in the manufacture of a stained glass window?\\
(A) $\mathrm{R}\$ 22.50$\\
(B) $\mathrm{R}\$ 35.00$\\
(C) $\mathrm{R}\$ 40.00$\\
(D) $\mathrm{R}\$ 42.50$\\
(E) $\mathrm{R}\$ 45.00$