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Equations and Inequalities

Geometry Exercises

Example 1

What is the height of a rectangular box with volume 144 in3, length 12 in, and width 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 2x; 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?