Compound Figures
Part 1: Research
Review the compound figures, Figure 9.28, Figure 9.29, and Figure 9.30 in Exercise Set 9.1 on page 614. Design your own compound figure.
- Include two different sized rectangles in your compound figure.
- Include one half-circle in your figure.
- Include one right triangle in your figure.
Part 2: Mathematics
Use your textbook and the figures from Part 1 to answer the following (See the “Uploads” section below for instructions on submitting this portion of the project):
- Draw the compound figure including each shape outlined above. Label each edge with a length. The lengths do not need to be exact; you may make them up, but they must make sense mathematically, that is, if a side looks like it is twice as long as another, make up a value that represents this. [30 points]
- Find the area of each shape listed in Part 1. [15 points]
- Find the total area of the compound figure. [15 points]
Part 3: Interpret the Results
Write a tutorial giving the formulas, numerical substitutions, and final answers for Part 2. The tutorial should show all of the steps as if you are a professor writing instructions for a student. Assume that the student has no previous knowledge of geometry; therefore, the steps must be detailed. [40 points]
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