Five identical squares form rectangle $P Q R S$, as shown. The perimeter of rectangle $P Q R S$ is 48 . What is the area of $P Q R S$ ?
(A) 45
(B) 9
(C) 80
(D) 16
(E) 96

![](https://cdn.mathpix.com/cropped/2024_04_20_ac36362783317e0251fdg-068.jpg?height=147&width=456&top_left_y=2057&top_left_x=1298)
Suppose that the side length of each of the five identical squares is $x$.

Then $P S=Q R=x$ and $P Q=S R=5 x$.

Since the perimeter of rectangle $P Q R S$ is 48 , then $5 x+x+5 x+x=48$ or $12 x=48$ or $x=4$. Therefore, $P S=Q R=4$ and $P Q=S R=5 \cdot 4=20$, and so the area of rectangle $P Q R S$ is $20 \cdot 4=80$.