Hello, ncooks!

Welcome aboard!

Find the area of the shaded region. Code:

9
* - - - - - - - *
|:::::::::::::::*
|:::::::::::* | 2
|:::::::* ..*
|:::* *:::*
* *:::::::|
| *:::::::::::*
13 *::::::::::* | 2
|:::::::* ..|
|:::* *:::*
* *:::::::|
| *:::::::::::|
*:::::::::::::::|
|:::::::::::::::|
* - - - - - - - *

The area of the rectangle is: .

Assuming that the diagonal lines are parallel,

. . the white regions are two congeuent parallelograms,

. . each with base 2 and height 9.

The white region has area: .

Therefore, the area of the shaded region is: .

~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~

An easier way . . .

Remove the white strips and push the shaded regions together. Code:

9
* - - - - - - - *
|:::::::::::::::*
|:::::::::::*:::|
|:::::::*:::::::|
9 |:::*:::::::::::*
*:::::::::::*:::|
|:::::::*:::::::|
|:::*:::::::::::|
* - - - - - - - *