Area of Composite Figures

Composite Shapes

A composite shape is a shape that consists of more than one shape.


To find the area, you need to find the area of each shape and add the areas together.

Multiple Choice

To find the area of a composite figure you must break the irregular figure into common shapes then find the area of each shape and 

• subtract them
• add them together
• multiply them
• divide them

Multiple Choice

What are the shapes that make up this composite figure?

• circle and 2 squares
• triangle and semi-circle
• semi-circle and rectangle
• circle and 2 rectangles

Open Ended

How many rectangles could this composite shape be divided into so that you can calculate the area?

Multiple Select

What shapes do you see in this composite shape? Check all that you see.

• Rectangle

• Square

• Triangle

• Rhombus

Multiple Choice

What formula is used to find the area of a circle?

• 2∏r

• ∏r²

• ∏d

• ∏rd²

Multiple Choice

What formula do you use for the area of a triangle?

• b x h

• l x w

• 1/2bh

• ∏r²

Multiple Choice

The radius is....

• a line that crosses through the center and touches each edge 
• the center point of a circle 
• a line from the center point to the edge of the circle
• an element in science

Multiple Choice

Diameter is...

• The distance from the center of a circle to a point on the circle

• The distance around a circle

• The area of a circle

• The distance from one point on a circle, through the center, to another point on the circle.

Multiple Choice

What is the area of the composite shape?

• 296.96 m²

• 248.96 m²

• 98.24 m²

• 73.12 m²

Multiple Choice

What is the area of the composite shape?

• 50cm²
• 25cm²
• 40cm²
• 35cm²

Multiple Choice

What is the area of this composite shape?

• 14 in²
• 68 in²
• 36 in²
• 24 in²

Multiple Choice

What is the area of the composite shape?

• 153.93 in²

• 115.43 in²

• 230.86 in²

Multiple Choice

The arrow shown is on a sign. What is the area of the arrow?

• 17 in²

• 40 in²

• 52 in²

• 61 in²

Multiple Choice

The diagram shows the spot on a basketball court called the “key”. What is the area of the key? Use 3.14 for ∏ .

• 284.52 ft²

• 228 ft²

• 317 ft²

• 116.71 ft²

Multiple Choice

What is the area of the composite shape?

• 50cm²
• 25cm²
• 40cm²
• 35cm²

Multiple Choice

Find the area of the composite figure.

• 102 m²
• 39 m²
• 51.2 m²

• 81 m²

Multiple Choice

BONUS QUESTION!

The Wilson’s new pool shed is shown below. Mrs. Wilson wants to paint it a turquoise color to match the pool’s tile. Find the area that needs to be painted, not including the door which is 1.0 m wide.

• 3.6 m²

• 4.6 m²

• 2.9 m²

• 5.6 m²