# Find the area of the yellow shaded area govern the larger pentagon side #s=5.5# and area of the smaller pentagon (green) #A_(pentagon) = 7.59 cm^2#?

##### 1 Answer

Toral Area (yellow regions)

#### Explanation:

There are three colors involved in the figure. The pink, blue, and the yellow.

There is a simple approach to this problem using Trigonometry and Geometry. Solve for the angles and sides first.

Angle

Angle

We can now compute for the sides LD and LE.

Using Sine Law

Now let us compute one yellow triangle:

Area one yellow triangle

Area one yellow triangle

Area one yellow triangle

Now, compute the total area of the 5 yellow triangles

Total Area (5 yellow triangles)

Total Area (5 yellow triangles)

God bless....I hope the explanation is useful.