Exploring Area of Composite Shapes

This video tutorial covers the concept of composite shapes in geometry, focusing on how to find the area of complex shapes by decomposing them into simpler shapes like rectangles and triangles. The tutorial explains the process of calculating the area of each component shape and then summing these areas to find the total area of the composite shape. Practical applications, such as calculating the area for flooring, are also discussed.

What does the term 'composite' refer to in geometry?

• A shape made up of more than one smaller shape

• A shape with a complex structure

• A shape that can be easily calculated

• A shape with only straight edges

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CCSS.1.G.A.2

How do you calculate the area of a rectangle?

• Half the base times height

• Base times height

• Length plus width

• Length times width divided by two

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CCSS.3.MD.C.7B

CCSS.4.MD.A.3

What is the area of a triangle with a base of 12 cm and height of 6 cm?

• 18 cm squared

• 36 cm squared

• 24 cm squared

• 72 cm squared

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CCSS.6.G.A.1

What is the total area of the first composite shape discussed?

• 60 cm squared

• 34 cm squared

• 48 cm squared

• 72 cm squared

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CCSS.6.G.A.1

How many shapes was the second composite shape decomposed into?

• Four

• Three

• Five

• Two

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CCSS.1.G.A.2

What is the area of the skinny rectangle in the second example?

• 8 cm squared

• 6 cm squared

• 12 cm squared

• 16 cm squared

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CCSS.6.G.A.1

What is the correct formula to calculate the area of a triangle?

• Base plus height

• Base times height

• Base times height divided by two

• Half the base times height

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CCSS.6.G.A.1

What is the total area of the second composite shape discussed?

• 36 cm squared

• 38 cm squared

• 34 cm squared

• 32 cm squared

What step is crucial when finding the area of a composite shape?

• Calculating the perimeter of the composite shape

• Doubling the dimensions of the composite shape

• Decomposing the shape into simpler shapes

• Multiplying all dimensions together

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CCSS.3.MD.C.7D

What must be done after decomposing a composite shape and calculating the area of each part?

• Add the areas together

• Subtract the areas

• Divide the areas

• Multiply the areas

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CCSS.3.MD.C.7D