A Brass Plate Measures $30.0 \mathrm{~cm}$ By $40.0 \mathrm{~cm}$

A brass plate measures $30.0 \mathrm{~cm}$ by $40.0 \mathrm{~cm}$ . The coefficient of linear thermal expansion is $19.0 \times 10^{-6 /{ }^{\circ} }\mathrm{C} \text {. }$ If the temperature of the plate is increased by $10.0 \mathrm{~K}$ , then what is the increase in the area of the plate?

A) $0.555 \%$
B) $0.404 \mathrm{~cm}^{2}$
C) $0.456 \mathrm{~cm}^{2}$
D) $0.502 \mathrm{~cm}^{2}$
E) $0.350 \mathrm{~cm}^{2}$