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How to Solve Geometric Equations

In geometry, most equations contain multiple variables that you need to solve separately to find a final answer. This form of equation is known as a literal equation. The key to solving literal equations is knowing your geometric rules and being able to apply them. Whenever possible, have a sheet with all the common rules listed to help you solve the equations.

Rule sheet
Paper

Instructions

- 1
  Write out the equation you must solve. For instance, A=bh for a rectangle with the area being 20 and the height being 4.
- 2
  Determine the first variable you need to solve. In this example equation, you must solve for b, which is the base.
- 3
  Find a rule that will allow you to solve for b. In this case, a/x=b/x.
- 4
  Isolate your variable using the rule. For the example, the equation becomes A/h=b.
- 5
  Plug in the information you already have and solve for your missing variable. So the problem becomes 20/4=b, thus b=5.

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