# Area of Shaded Regions and Composites

```Name ______________________________
PreAP Geometry
Composite Figures
Date ______________
Period _________
Directions: All work must be shown to receive credit. Figures are not drawn to scale.
For #1-5, find the area of the shaded regions. Leave answers in exact form.
1.
2.
3.
3 in
10 in
8 in
22 m
13 in
4 in
4.
5.
18 m
30 in
16 m
20 m
For #6-10, find the area of the shaded regions. Point C is the center of the circles. Leave answers
exact. All polygons are regular.
6.
7.
8.
C
C
12 m
8 3m
24 cm
9. Find the area of the shaded region.
.
20
10
For #10-11, find the area of the shaded regions. Point C is the center of the circle. All polygons are
regular.
10.
11.
C
C
2 3 in
6 2 in
12. What is the area of the unshaded part of the rectangle?
A. 28,000 ft&sup2;
C. 26,000 ft&sup2;
B. 45,000 ft&sup2;
D. 19,000 ft&sup2;
13. A triangle is inscribed in a square, as shown to the right.
What is the area of the shaded triangle inscribed in the square?
A.
1 2
x units2
16
C.
1 2
x units2
2
B.
1 2
x units2
4
D.
1 2
x units2
8
14. Find the area of the quadrilateral formed by the lines with the following equations:

y

y


y


y

1
x 5
3
1
 x 1
3
5
  x  11
3
5
  x 5
3

```