Home / Worksheets / Grade 7 / Math / Area of Compound Figures Worksheet

Area of Compound Figures Worksheet

Calculate the area of various compound figures by decomposing them into simpler shapes. Includes a variety of problem types suitable for Grade 7.

Grade 7 Math GeometryAreaArea of Compound Figures
Use This Worksheet

Includes

3 Short AnswerFill in the BlanksMultiple ChoiceTrue / False

Standards

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

Topics

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

Area of Compound Figures

Name:

Date:

Score:

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

1. Find the area of the figure below.

10 cm5 cm5 cm5 cm

2. A compound figure is made up of a rectangle with length 8 cm and width 4 cm, and a triangle with a base of 4 cm and a height of 6 cm. The total area of the compound figure is   square centimeters.

3. Which of the following formulas can be used to find the area of a compound figure made of a semicircle (radius r) on top of a square (side s)?

a

Area = πr² + s²

b

Area = (1/2)πr² + s²

c

Area = 2πr + 4s

d

Area = (1/2)πr + s²

4. Calculate the area of the shape shown below. All angles are right angles.

10 units10 units5 units5 units

5. To find the area of a compound figure, you always add the areas of the individual shapes.

T

True

F

False

6. A rectangular garden is 20 feet long and 10 feet wide. A triangular flower bed with a base of 8 feet and a height of 5 feet is cut out from one corner. What is the area of the remaining garden?