The rectangle $P Q R S$ is divided into six equal squares and shaded as shown. What fraction of $P Q R S$ is shaded?

![](https://cdn.mathpix.com/cropped/2024_04_20_e85ef69091c57cb633f3g-143.jpg?height=214&width=770&top_left_y=1129&top_left_x=667)
(A) $\frac{1}{2}$
(B) $\frac{7}{12}$
(C) $\frac{5}{11}$
(D) $\frac{6}{11}$
(E) $\frac{5}{12}$
The rectangle $P Q R S$ is divided into six equal squares and shaded as shown. What fraction of $P Q R S$ is shaded?

![](https://cdn.mathpix.com/cropped/2024_04_20_688a3b42f69739f2e244g-266.jpg?height=247&width=911&top_left_y=1592&top_left_x=607)
(A) $\frac{1}{2}$
(B) $\frac{7}{12}$
(C) $\frac{5}{11}$
(D) $\frac{6}{11}$
(E) $\frac{5}{12}$

## Solution

There are 5 half-squares shaded out of a total possible of 12 half-squares, hence $\frac{5}{12}$ of the area is shaded.