1. A particular flag is in the shape of a rectangle divided into five smaller congruent rectangles as shown. When written in its lowest terms, the ratio of the side lengths of the smaller rectangle is $\lambda: 1$, where $\lambda<1$.
What is the value of $360 \lambda$ ?
Solution
120

Let $a, b$ be the side lengths of the smaller rectangle, with $a<b$.
We observe that $b=3 a$, so $\lambda=\frac{1}{3}$.
The value of $360 \lambda$ is $360 \times \frac{1}{3}=120$.