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Example Questions
Example Question #28 : How To Find The Area Of A Pentagon
In the figure below, find the area of the pentagon if the length of is one-fourth the length of .
Possible Answers:
Correct answer:
Explanation:
Start by figuring out the lengths of and .
Let be the length of . From the question, we then write the length of as .
From the figure, you should see that .
Plug in the variables and solve for .
So then the length of must be , and the length of must be .
Now, to find the area of the pentagon, notice that we can break the shape down to one rectangle and two right triangles.
Next, find the area of rectangle .
Next, find the area of the right triangles.
For triangle ,
For triangle ,
Add up the component areas to find the area of the pentagon.
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