Understanding Composite Shapes and Area Calculation

The video tutorial explains how to find the area of composite shapes, which are made by combining basic shapes like triangles and rectangles. It covers the process of identifying missing dimensions, calculating the area of individual shapes, and then combining these areas to find the total area of the composite shape. The tutorial emphasizes the importance of using precise mathematical methods to determine dimensions and areas.

What is a composite shape?

• A shape with only one side

• A shape made from multiple basic shapes

• A shape that is always circular

• A shape that cannot be measured

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CCSS.3.MD.C.7B

CCSS.4.MD.A.3

Which formula is used to find the area of a rectangle?

• Base divided by height

• Length plus width

• One-half base times height

• Base times height

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

• Draw the shape

• Color the shape

• Write the formula for the area

• Guess the dimensions

How do you determine the base of a triangle in a composite shape?

• By using a ruler

• By using known dimensions of connected lines

• By measuring the entire shape

• By guessing

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CCSS.6.G.A.1

What is the area of a triangle with a base of 4 inches and height of 4 inches?

• 8 square inches

• 16 square inches

• 4 square inches

• 12 square inches

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CCSS.3.MD.C.7B

CCSS.4.MD.A.3

What is the formula for the area of a rectangle?

• Length plus width

• One-half base times height

• Base times height

• Length times width

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CCSS.3.MD.C.7B

CCSS.4.MD.A.3

If a rectangle has a base of 10 inches and a height of 6 inches, what is its area?

• 16 square inches

• 60 square inches

• 6 square inches

• 100 square inches

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CCSS.3.MD.C.7D

How do you find the total area of a composite shape?

• Add the areas of all individual shapes

• Multiply the areas of all individual shapes

• Subtract the areas of all individual shapes

• Divide the areas of all individual shapes

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CCSS.3.MD.C.7D

What is the total area of a composite shape made of a triangle with area 8 square inches and a rectangle with area 60 square inches?

• 70 square inches

• 52 square inches

• 48 square inches

• 68 square inches

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CCSS.3.MD.C.6

Why is it important to label the area in square units?

• To confuse the reader

• To make the number larger

• To make it look more professional

• To indicate the measurement is in two dimensions

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CCSS.3.MD.C.6