Composite Figures and Triangle Areas

This video tutorial explains how to calculate the area of composite figures, focusing on those containing triangles. It begins by breaking down composite figures into simpler shapes, such as rectangles and triangles, and then demonstrates how to calculate their areas using basic formulas. The video includes multiple examples, illustrating the process of finding the area of each shape and summing them to get the total area. Additionally, it covers the use of the Pythagorean theorem to find missing dimensions in right triangles. The tutorial also provides links to related content for further learning.

What is the first step in calculating the area of a composite figure with triangles?

• Calculate the perimeter of the figure.

• Break the figure into simpler parts.

• Find the volume of the figure.

• Draw a circle around the figure.

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CCSS.3.MD.C.7B

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In the first example, what is the area of the rectangle?

• 50 square cm

• 30 square cm

• 90 square cm

• 70 square cm

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How is the base of the triangle determined in the first example?

• By using the Pythagorean theorem.

• By subtracting one side length from another.

• By measuring directly with a ruler.

• By adding the lengths of two sides.

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What is the total area of the composite figure in the second example?

• 40 square in

• 26 square in

• 50 square in

• 30 square in

In the second example, how is the height of the triangle determined?

• By using the Pythagorean theorem.

• By subtracting the width from the length.

• By using the same length as the rectangle's side.

• By measuring directly.

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What additional content is suggested for further learning?

• Understanding the properties of hexagons.

• Finding the volume of spheres.

• Learning about trapezoids and parallelograms.

• Calculating the area of circles.

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In the final example, what theorem is used to find the missing side of the triangle?

• The Law of Cosines

• The Pythagorean theorem

• The Triangle Inequality Theorem

• The Law of Sines

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What is the total area of the composite figure in the final example?

• 180 square units

• 200 square units

• 168 square units

• 150 square units

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How is the height of the triangle in the final example determined?

• By subtracting one side length from another.

• By measuring directly.

• By using the Pythagorean theorem.

• By adding the lengths of two sides.

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CCSS.1.G.A.1

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What is the length of the base of the large triangle in the final example?

• 10 units

• 16 units

• 14 units

• 12 units

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