Exploring Area and Perimeter of Compound Shapes

The video tutorial explains compound shapes, which are made up of multiple basic shapes like rectangles, triangles, and circles. It guides viewers on how to find missing lengths, calculate the area by dividing the shape into known shapes, and determine the perimeter by summing all side lengths. The tutorial emphasizes understanding the difference between area and perimeter measurements.

What defines a compound shape?

• A shape with only straight edges

• A shape with curved edges

• A shape made up of multiple simple shapes

• A shape that changes form

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CCSS.1.G.A.2

Why is it important to note down all visible lengths in a compound shape?

• To make the shape look complete

• To calculate the volume

• To assist in calculating area and perimeter

• To understand the shape's color

What shapes can make up a compound shape?

• Rectangles, triangles, and parts of circles

• Rectangles and triangles

• Only circles

• Only rectangles

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CCSS.1.G.A.2

Which method cannot be used to calculate the area of a compound shape?

• Subtracting areas of divided shapes

• Any method as long as it simplifies the shape

• Adding areas of divided shapes

• Multiplying the longest sides

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CCSS.6.G.A.1

Why might you subtract the area of a shape when calculating the area of a compound shape?

• To find the area of a missing piece

• To make the problem more complex

• Because subtraction is easier than addition

• To correct a mistake in calculation

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CCSS.3.MD.C.7D

What is the area of a square with sides of 5 cm?

• 25 cm squared

• 30 cm squared

• 15 cm squared

• 10 cm squared

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CCSS.3.MD.C.7B

CCSS.4.MD.A.3

What is the area of a rectangle with sides 3 cm and 9 cm?

• 12 cm squared

• 27 cm squared

• 36 cm squared

• 18 cm squared

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CCSS.3.MD.C.7B

CCSS.4.MD.A.3

What is the total area of the example compound shape?

• 34 cm squared

• 75 cm squared

• 48 cm squared

• 52 cm squared

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CCSS.6.G.A.1

How do you calculate the perimeter of a compound shape?

• Subtract the inner lengths from the total area

• Add up all the outer lengths

• Multiply the longest sides

• Add up the area of all shapes

What is the perimeter of the example compound shape?

• 32 cm

• 34 cm

• 36 cm

• 38 cm

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CCSS.3.MD.D.8