Area of Shaded Regions and Composites Name



PreAP Geometry

Composite Figures

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.

4. 5.

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.

9. Find the area of the shaded region. .

For #10-11, find the area of the shaded regions. Point C is the center of the circle. All polygons are regular.

10. 11.

12. What is the area of the unshaded part of the rectangle?

A. 28,000 ft² C. 26,000 ft²

B. 45,000 ft² D. 19,000 ft²

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. [pic]x2 units2 C. [pic]x2  units2

B. [pic]x2  units2 D. [pic]x2 units2

14. Find the area of the quadrilateral formed by the lines with the following equations:

[pic]

-----------------------

10 in

3 in

13 in

4 in

8 in

[pic] in

Name ______________________________

Date ______________ Period _________

8[pic]m

C

30 in

18 m

C

[pic] in

16 m

20 m

22 m

C

10

20

12 m

C

24 cm

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