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Home > CCG > Chapter 9 > Lesson 9.2.2 > Problem 9-82

9-82.

Find the area of the Marina’s drugstore (FIDO) in problem 9‑81. Show all work.  

Draw a diagram that will help you solve for the area. Notice the figure being split into smaller more manageable figures, especially right triangles.

A quadrilateral O, D, I, F where side O, D and side F, I are parallel. Side O, D is 20 meters. Side F, I is 14 meters.  Side O, F is 18 meters.  Angle F, is 120 degrees. A dashed line from F goes upward perpendicularly to side O, D.

Find the height of the trapezoid.

Note that the green line that has been drawn has created a special right triangle. Use this information to solve for .

After solving for , use the formula  to find the area