All Intermediate Geometry Resources
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.
All Intermediate Geometry Resources
Popular Subjects
GRE Tutors in Chicago, Biology Tutors in New York City, Spanish Tutors in New York City, Biology Tutors in San Diego, Calculus Tutors in San Francisco-Bay Area, LSAT Tutors in Atlanta, Spanish Tutors in Philadelphia, Algebra Tutors in San Diego, LSAT Tutors in New York City, LSAT Tutors in Houston
Popular Courses & Classes
SSAT Courses & Classes in Houston, MCAT Courses & Classes in Philadelphia, ISEE Courses & Classes in Washington DC, ISEE Courses & Classes in Los Angeles, GMAT Courses & Classes in Atlanta, Spanish Courses & Classes in San Diego, GRE Courses & Classes in Los Angeles, MCAT Courses & Classes in Denver, ISEE Courses & Classes in Boston, Spanish Courses & Classes in Dallas Fort Worth
