What fraction of the area of rectangle $A B C D$ is the area of the shaded square?
(A) $\frac{1}{15}$
(D) $\frac{1}{4}$
(B) $\frac{1}{8}$
(C) $\frac{1}{10}$
(E) $\frac{1}{12}$

![](https://cdn.mathpix.com/cropped/2024_04_20_6ed09463f225f8ba1f07g-098.jpg?height=304&width=417&top_left_y=897&top_left_x=1296)
The shaded square has side length 1 so has area $1^{2}=1$.

The rectangle has dimensions 3 by 5 so has area $3 \times 5=15$.

Thus, the fraction of the rectangle that is shaded is $\frac{1}{15}$.

ANSWER: (A)