# Geometry Exercises

### Example 1

What is the height of a rectangular box with a volume of 144 in^{3}, a length of 12 in, and a width of 4 in?

### Example 2

The picture below shows one right triangle inside another. Apparently, it was cold and sought shelter. The big triangle has two sides of length 2*x*; the little triangle has two sides of length *x*. The area covered by the big triangle but not covered by the little triangle is 24. What is *x*?