### বাক্সবন্দী ত্রিভুজ

##### Score: 1 Point

Rectangle $ABCD$ is shown here with $AB = 12$ and $BC = 5$. If $X$ and $Y$ lie on diagonal $BD$, and $XY = 1$, the total area of shaded triangles $BCY$ and $DAX = \frac{a}{b}$ where $a, b$ are relatively co prime and positive integers. Find $a + b$.

Geometry

#### Statistics

Tried 188

Solved 106

First Solve @tasmeemreza