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Home > CCG > Chapter 9 > Lesson 9.2.2 > Problem 9-81

9-81.

The floor plan of Marina’s local drugstore is shown at right. While shopping one day, Marina tied her dog, Mutt, to the building at point . If Mutt’s leash is meters long, what is the area that Mutt can roam? Draw a diagram and show all work.  

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.

. Since , the .

Added to quadrilateral, side, F I, is extended away from vertex, I, & part of a circle that starts at side, O F, ends at side, F I, with vertex F as its center, extended segment labeled, r = 4.

The area Mutt can roam =
(fraction of circle Mutt can roam)(area of entire circle)

Area Mutt can roam