Finding Area by Decomposition

This video tutorial teaches how to find the area of a figure by decomposing it into smaller parts and summing their areas. It reviews the area formula (A = L x W) and provides examples using different units. The tutorial demonstrates decomposing complex shapes into rectangles, calculating their areas, and adding them to find the total area. The lesson concludes with a practical example of calculating the area of a dog pen.

What is the formula to calculate area?

• A = L * W

• A = L / W

• A = L + W

• A = L - W

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CCSS.3.MD.C.7B

CCSS.4.MD.A.3

What is the area of the first rectangle decomposed in the example?

• 8 square units

• 28 square units

• 20 square units

• 12 square units

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CCSS.3.MD.C.7D

How do you find the area of a complex shape?

• By decomposing it into simpler shapes

• By adding all the side lengths

• By multiplying its longest sides

• By measuring its perimeter

What does decomposing a shape help with?

• Calculating its area

• Calculating its volume

• Finding its perimeter

• Measuring its sides

What is the first step in finding the area of a complex shape?

• Adding all the sides

• Drawing it on a grid

• Multiplying the longest sides

• Decomposing it into simpler shapes

Tags

CCSS.3.MD.C.7D

What is the area of the larger rectangle in the second decomposition example?

• 12 square centimeters

• 33 square centimeters

• 9 square centimeters

• 24 square centimeters

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CCSS.3.MD.C.6

What is the total area of the decomposed shape in the second example?

• 44 square units

• 33 square units

• 28 square units

• 12 square units

Tags

CCSS.3.MD.C.7D

What are the dimensions of the larger rectangle in the dog pen?

• 7 feet by 5 feet

• 3 feet by 3 feet

• 5 feet by 4 feet

• 6 feet by 4 feet

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CCSS.1.G.A.1

CCSS.2.G.A.1

What is the area of the smaller rectangle in the dog pen example?

• 44 square feet

• 35 square feet

• 12 square feet

• 9 square feet

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CCSS.6.G.A.1

How many square feet is the dog pen in total?

• 28 square feet

• 9 square feet

• 44 square feet

• 35 square feet

Tags

CCSS.3.MD.C.7B

CCSS.4.MD.A.3