Exploring Perimeter and Area of Composite Figures

This video tutorial covers the concepts of perimeters and areas of composite figures, which are made up of various shapes like triangles, squares, rectangles, and semicircles. It provides examples to calculate the perimeter and area of composite figures, including an arrow-shaped figure, a combination of a triangle and semicircle, and a real-life application involving a basketball court. The tutorial emphasizes breaking down complex figures into simpler shapes to find their perimeter and area.

What shapes can make up a composite figure?

• Only circles and triangles

• Only squares and rectangles

• Only three-dimensional figures

• Triangles, squares, rectangles, semicircles, and other two-dimensional figures

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CCSS.1.G.A.2

How do you calculate the perimeter of a composite figure?

• By multiplying the lengths of all sides

• By dividing the total area by the number of shapes

• By adding the areas of the individual shapes

• By finding the distance around the figure

How do you calculate the area of a composite figure?

• By adding the perimeters of the individual shapes

• By multiplying the areas of the individual shapes

• By dividing the total perimeter by the number of shapes

• By adding the areas of the individual shapes

What is the perimeter of the arrow-shaped figure?

• 12 units

• 6 units

• 20 units

• 14 units

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CCSS.3.MD.D.8

How many full squares are inside the arrow-shaped figure?

• 10 squares

• 14 squares

• 12 squares

• 8 squares

What is the formula to find the circumference of a circle?

• C = pi * radius

• C = 2 * pi * radius

• C = pi * diameter

• C = 2 * pi * diameter

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CCSS.7.G.B.4

What is the area of the triangle in the composite figure?

• 12 feet squared

• 24 feet squared

• 30 feet squared

• 18 feet squared

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CCSS.6.G.A.1

What is the area of the semicircle in the composite figure?

• 19.625 feet squared

• 78.5 feet squared

• 24 feet squared

• 39.25 feet squared

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CCSS.HSG.C.B.5

How many gallons of wood stain are needed for the basketball court?

• 27 gallons

• 28 gallons

• 30 gallons

• 29 gallons

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CCSS.5.MD.A.1

What is the total area of the basketball court excluding the center circle?

• 150 feet squared

• 28.26 feet squared

• 4200 feet squared

• 4171.74 feet squared