In the diagram, each line segment has length $x$ or $y$. Also, each pair of adjacent sides is perpendicular.

![](https://cdn.mathpix.com/cropped/2024_04_20_ac36362783317e0251fdg-028.jpg?height=410&width=531&top_left_y=375&top_left_x=756)

If the area of the figure is 252 and $x=2 y$, the perimeter of the figure is
(A) 96
(B) 192
(C) 288
(D) 72
(E) 168
Since $x=2 y$, then by drawing dotted lines parallel to the line segments in the given figure, some of which start at midpoints of the current sides, we can divide the figure into 7 squares, each of which is $y$ by $y$.

![](https://cdn.mathpix.com/cropped/2024_04_20_33a8a6559d675f59baa2g-053.jpg?height=423&width=531&top_left_y=2201&top_left_x=859)

Since the area of the given figure is 252 , then $7 y^{2}=252$ or $y^{2}=36$.

Since $y>0$, then $y=6$.

The perimeter of the figure consists of 16 segments of length $y$.

Therefore, the perimeter is $16 \times 6=96$.

ANSWER: (A)