Question 8a250f2d

Triangles $\mathit{\text{A}}\mathit{\text{B}}\mathit{\text{C}}$ and $\mathit{\text{D}}\mathit{\text{E}}\mathit{\text{F}}$ are similar. Each side length of triangle $\mathit{\text{A}}\mathit{\text{B}}\mathit{\text{C}}$ is $4$ times the corresponding side length of triangle $\mathit{\text{D}}\mathit{\text{E}}\mathit{\text{F}}$. The area of triangle $\mathit{\text{A}}\mathit{\text{B}}\mathit{\text{C}}$ is $270$ square inches. What is the area, in square inches, of triangle $\mathit{\text{D}}\mathit{\text{E}}\mathit{\text{F}}$?