I always had a bit of a tough time finding examples of trapezoid applications out there in the real world. There are a few, but certainly not as easy as finding shapes such as circles, rectangles, triangles, squares, ... I thought I would go looking and here are a few I found.
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEg5Ik5dgCPhrwO3akZrsCD6BkH9spuEoxoHQXEhSPQyVHKxO9Lau-Z-4sq__VNZoMJ2vH1UbcWiYzO3_mv749yRcdaRTLfBl0lMhoXH_SypMFB19YdF9LyRyAGIDDoEJBa3WEby_Z5HFhs/s200/trapezoidrule.png)
The trapezoidal rule is actually from calculus. A little above the geometry level, the basic idea of it would be quite understandable to a geometry student.
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhgYOXg6iXTqRQXl7ofvAJuFNimBh9ru4THqQRYeMN7kIBL3qfZjQEnfctxjtAmwQDxWWKJSiO-bfH3LftOpksKCqF0jqkrVGZ_jNWk5a5EgKc75bptnErBibW8gfaZk1O5HLOEamKVE2E/s200/F200811131337051665119141.jpg)
Another interesting one is the Mars Rover which contain the Rover's solar panels. I believe they are in the shape of a trapezoid because the panels are initially folded up against the Rover. The trapezoid shape is best for that unfolding transition.
I don't have specific info on most of the others. They're just trapezoids out in the real world.