Composite Polygon Area

Area of Composite Shapes

Dr. Tom Giles

​Example 1

Multiple Select

Q1. What shapes do you see in this composite shape? Check all that you see.

• Rectangle

• Square

• Triangle

• Rhombus

Multiple Choice

Q2. What is the area of the composite figure?

• 48 cm²

• 90 cm²

• 78 cm²

• 12 cm²

Multiple Choice

Q3. Calculate the area of this shape. 

• $$176.8cm^2$$  

• $$180cm^2$$  

• $$153.7cm^2$$  

• $$190.3cm^2$$  

​Example 2

Multiple Choice

Q4. What is the area of the composite shape?

• 50cm²

• 25cm²

• 40cm²

• 35cm²

Multiple Choice

Q5. Calculate the blue area. 

• $$600mm^2$$  

• $$850mm^2$$  

• $$950mm^2$$  

• $$1000mm^2$$  

​Example 3

Multiple Choice

Q6. Calculate the area. 

• 296.96 m2

• 248.96 m2

• 98.24 m2

• 73.12 m2

Multiple Choice

Q7. Calculate the area of this shape.

• $$310cm^2$$  

• $$365cm^2$$  

• $$320cm^2$$  

• $$216.5cm^2$$  

Now for some application questions...​

(aka: Word Problems)

​Complete this question and then enter the solutions on the next few slides...

​Q8.

Multiple Choice

Select the correct answer to 9a. 

• $$2.28m^2$$  

• $$3.38m^2$$  

• $$1.68m^2$$  

• $$4.29m^2$$  

Multiple Choice

Select the answer to 9b.

• $$3.91m^2$$  

• $$5.48m^2$$  

• $$6m^2$$  

• $$6.84m^2$$  

Multiple Choice

Select the answer to 9c. 

• $$5.916m^2$$  

• $$6.156m^2$$  

• $$8.943m^2$$  

• $$5.086m^2$$  

​Q9.

​Complete this question and then enter the solutions on the next few slides...

Multiple Choice

Select the answer to 9a. 

• $$5.14m^2$$  

• $$5.32m^2$$  

• $$4.14m^2$$  

• $$4.32m^2$$  

Multiple Choice

Select the answer to 9b.

• $$1.36m^2$$  

• $$2.01m^2$$  

• $$2.36m^2$$  

• $$3.12m^2$$  

​Q10

1. ​Draw a detailed diagram including all measurements.

2. ​Complete the calculations and submit the answer on the next slide.

Multiple Choice

Select your answer to Q10 here...

• $$45.23cm^2$$  

• $$45.91cm^2$$  

• $$44.23cm^2$$  

• $$45.86cm^2$$  

​Q11

​Complete this question in your books. HINT: you're calculating the area of the orange-colored section.

Multiple Choice

Select your answer to Q11 here...

• $$4567.8m^2$$  

• $$5372.9m^2$$  

• $$5594.4m^2$$  

• $$5921.6m^2$$  

​If you felt like this on any of the questions from today, you need to ask questions now or email me for help later :)