Finding Areas in a Composite Figure - Use the figure to answer each question

Sep 30, 2026

Uploaded by Levi

Practice worksheet on finding areas in composite figures using shaded and unshaded triangles with given side lengths in centimeters. Questions ask for the area of each shaded triangle, the area of each unshaded triangle, and the total area of the overall figure for multiple labeled problems. Each question provides multiple-choice answer options. An answer key is included listing the selected letters for problems 1 through 6.

LanguageEnglish

CategoryExam

FormatPDF

Pages3

Reading Time8 min

AccessFree to download

Questions

Area of shaded triangles

Area of unshaded triangles

Total area of the composite figure

Answer Key

Finding Areas in a Composite Figure Name: | Use the figure to answer each question.
1) 4 cm

6 cm

10 cm

12 cm
What is the area, in square centimeters, of each shaded triangle?
A. 48 B. 60
C. 24 D. 30
3)

10 cm
8 cm

4 cm

6 cm
What is the area, in square centimeters, of each unshaded triangle?
A. 40 B. 30
C. 32 D. 16 | 2) 4 cm
8 cm

4 cm

6 cm
What is the total area, in square centimeters, of the figure?
A. 104 B. 56
C. 48 D. 76
4)

10 cm
10 cm

6 cm

8 cm
What is the total area, in square centimeters, of the figure?
A. 140 B. 80
C. 220 D. 150 | Answers | | --- | --- | --- | | | | 1.
2.
3.
4.
5.
6. | | 5)

8 cm
8 cm

4 cm

12 cm
What is the area, in square centimeters, of each shaded triangle?
A. 24 B. 16
C. 96 D. 48 | 6) 4 cm

12 cm
What is the area, in square centimeters, of each shaded triangle?
A. 36 B. 24
C. 30 D. 48 | | [Math](Math www.CommonCoreSheets.com 5 1-6)[ www.CommonCoreSheets.com](Math www.CommonCoreSheets.com 5 1-6)[ 5](Math www.CommonCoreSheets.com 5 1-6)[ 1-6](Math www.CommonCoreSheets.com 5 1-6) 83 67 50 33 17 0 | | | | | | | | --- | --- | --- | --- | --- | --- | Finding Areas in a Composite Figure Name: Answer Key | Use the figure to answer each question.
1) 4 cm

6 cm

10 cm

12 cm
What is the area, in square centimeters, of each shaded triangle?
A. 48 B. 60
C. 24 D. 30
3)

10 cm
8 cm

4 cm

6 cm
What is the area, in square centimeters, of each unshaded triangle?
A. 40 B. 30
C. 32 D. 16 | 2) 4 cm
8 cm

4 cm

6 cm
What is the total area, in square centimeters, of the figure?
A. 104 B. 56
C. 48 D. 76
4)

10 cm
10 cm

6 cm

8 cm
What is the total area, in square centimeters, of the figure?
A. 140 B. 80
C. 220 D. 150 | Answers | | --- | --- | --- | | | | 1. C
2. A
3. D
4. C
5. D
6. B | | 5)

8 cm
8 cm

4 cm

12 cm
What is the area, in square centimeters, of each shaded triangle?
A. 24 B. 16
C. 96 D. 48 | 6) 4 cm

12 cm
What is the area, in square centimeters, of each shaded triangle?
A. 36 B. 24
C. 30 D. 48 | | [Math](Math www.CommonCoreSheets.com 5 1-6)[ www.CommonCoreSheets.com](Math www.CommonCoreSheets.com 5 1-6)[ 5](Math www.CommonCoreSheets.com 5 1-6)[ 1-6](Math www.CommonCoreSheets.com 5 1-6) 83 67 50 33 17 0 | | | | | | | | --- | --- | --- | --- | --- | --- | Finding Areas in a Composite Figure Name: | Use the figure to answer each question.
1) 4 cm

6 cm

10 cm

12 cm
What is the area, in square centimeters, of each shaded triangle?
A. 48 B. 60
C. 24 D. 30
3)

10 cm
8 cm

4 cm

6 cm
What is the area, in square centimeters, of each unshaded triangle?
A. 40 B. 30
C. 32 D. 16 | 2) 4 cm
8 cm

4 cm

6 cm
What is the total area, in square centimeters, of the figure?
A. 104 B. 56
C. 48 D. 76
4)

10 cm
10 cm

6 cm

8 cm
What is the total area, in square centimeters, of the figure?
A. 140 B. 80
C. 220 D. 150 | Answers | | --- | --- | --- | | | | 1.
2.
3.
4.
5.
6. | | 5)

8 cm
8 cm

4 cm

12 cm
What is the area, in square centimeters, of each shaded triangle?
A. 24 B. 16
C. 96 D. 48 | 6) 4 cm

12 cm
What is the area, in square centimeters, of each sh

FAQs

How do you find the area of each shaded triangle in the composite figure?

Use the provided side lengths in centimeters and compute the triangle area for each shaded triangle shown in the figure, then choose the matching square-centimeter option.

What is asked when the problem says “each unshaded triangle”?

The problem requests the area, in square centimeters, for each unshaded triangle shown, with multiple-choice answers to select from.

How is the total area of the figure determined?

Add the areas of the relevant parts (the triangles in the composite layout) to get the total area of the entire figure, then select the corresponding answer choice.

Sep 30, 2026

Uploaded by Levi