Calculating the Area of Composite Figures

This video tutorial explains how to find the area of composite figures by breaking them down into basic shapes like triangles and rectangles. It demonstrates calculating the area of each shape using given dimensions and formulas, and then summing these areas to find the total area of the composite figure. The tutorial emphasizes understanding the properties of basic shapes and applying area formulas correctly.

What defines a composite figure?

• A shape made up of only triangles

• A shape that can be divided into more than one basic figure

• A shape made up of only circles

• A shape that cannot be divided

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CCSS.1.G.A.2

How do you calculate the area of a triangle?

• Base x Height / 2

• Length x Width

• Base x Height

• Length + Width

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CCSS.6.G.A.1

What is the area of the first triangle?

• 24 meters squared

• 12 meters squared

• 48 meters squared

• 30 meters squared

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CCSS.6.G.A.1

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

• 2 x (Base + Height)

• (Base + Height) / 2

• Base x Height

• (Base x Height) / 2

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CCSS.6.G.A.1

How is the area of a rectangle calculated?

• Base x Height / 2

• Length + Width

• Base x Height

• Length x Width

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CCSS.3.MD.C.7B

CCSS.4.MD.A.3

What is the area of the rectangle within the composite figure?

• 40 meters squared

• 70 meters squared

• 50 meters squared

• 60 meters squared

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CCSS.6.G.A.1

How can you find the height of the second triangle?

• By measuring it directly

• Using the area of the rectangle

• Knowing the length of the rectangle's opposite side

• Calculating the perimeter of the composite figure

What is the area of the second triangle?

• 9 meters squared

• 6 meters squared

• 12 meters squared

• 3 meters squared

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CCSS.6.G.A.1

What is the total area of the composite figure?

• 110 meters squared

• 80 meters squared

• 90 meters squared

• 100 meters squared

Why is it important to know the areas of simple shapes in calculating the area of a composite figure?

• Because the area of a composite figure cannot be calculated

• To make the calculation more complex

• Simple shapes are not important in calculations

• To accurately calculate the total area of the composite figure

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CCSS.3.MD.C.7D