Home / Worksheets / Grade 7 / Math / Area of Complex Figures

Area of Complex Figures

Calculate the area of various complex figures by decomposing them into simpler shapes like rectangles, triangles, and parallelograms.

Grade 7 Math GeometryArea of Complex Figures
Use This Worksheet

Includes

3 Short AnswerFill in the BlanksMultiple ChoiceTrue / False

Standards

CCSS.MATH.CONTENT.7.G.B.6

Topics

mathgeometryareacomplex figuresgrade 7
8 sections · Free to use · Printable
← More Math worksheets for Grade 7

Area of Complex Figures

Name:

Date:

Score:

Read each question carefully and calculate the area of the complex figures. Show your work.

1. Find the area of the figure below.

8 cm6 cm8 cm5 cm

2. A swimming pool is shaped like the figure below. What is the area of the pool's surface?

10 m7 m7 m7 m

3. To find the area of a complex figure, you can break it down into simpler shapes like  ,  , and  .

4. Which of the following formulas would you use to find the area of a triangle?

a

Area = length × width

b

Area = π × radius²

c

Area = ½ × base × height

d

Area = side²

5. You can always find the area of a complex figure by adding the areas of the simpler shapes it's made of.

T

True

F

False

6. Calculate the area of the following figure. All angles are right angles.

10 ft5 ft5 ft8 ft