CPM Homework Help : CCG Problem 9-82

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

Step 1:

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.

Step 2:

Find the height of the trapezoid.

Hint:

Note that the green line that has been drawn has created a special $30°\text{-}60°\text{-}90°$ right triangle. Use this information to solve for $h$ .

Step 3:

After solving for $h$ , use the formula $\left(\frac{1}{2}\right)\left(b_1+b_2\right)h$ to find the area

Answer:

$\text{Area}\approx265\text{ m}^2$