Area and Perimeter of Shapes

This video tutorial covers the concepts of composite shapes, focusing on calculating their perimeter and area. It begins with an introduction to composite shapes, followed by detailed steps to find the perimeter and area of these shapes. The tutorial includes examples of calculating the perimeter and area of different figures, including a semicircle and shaded regions. The video emphasizes breaking down complex shapes into simpler components to facilitate calculations.

What does the term 'composite' mean in the context of shapes?

• A shape that is always a rectangle

• A shape with no defined area

• A shape made up of more than one type of shape

• A shape made up of only one type of shape

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

• Calculating the area

• Identifying all the distances around the shape

• Dividing the shape into smaller shapes

• Finding the radius of the shape

Tags

CCSS.3.MD.D.8

If a composite shape has sides of 6, 5, 6, 4, 6, 8, 10, 5, 4, and 12 inches, what is its perimeter?

• 60 inches

• 72 inches

• 78 inches

• 66 inches

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CCSS.3.MD.C.7D

How do you find the area of a composite shape made up of rectangles?

• By dividing the shape into rectangles and summing their areas

• By calculating the perimeter first

• By using the formula for the area of a circle

• By finding the volume of the shape

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CCSS.3.MD.C.7B

CCSS.4.MD.A.3

What is the area of a rectangle with dimensions 6 inches by 4 inches?

• 24 square inches

• 32 square inches

• 20 square inches

• 28 square inches

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CCSS.7.G.B.4

How do you find the circumference of a semicircle if the diameter is 8 meters?

• By using the formula 2πd

• By using the formula πd and then dividing by 2

• By using the formula 2πr

• By using the formula πr²

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CCSS.6.G.A.1

What is the area of a triangle with a base of 8 meters and a height of 3 meters?

• 24 square meters

• 12 square meters

• 16 square meters

• 20 square meters

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CCSS.7.G.B.4

How do you find the area of a semicircle if the radius is 4 meters?

• By using the formula πr² and then dividing by 2

• By using the formula 2πr

• By using the formula πd

• By using the formula 2πr²

Tags

CCSS.3.MD.C.7B

CCSS.4.MD.A.3

What is the area of a square with a side length of 14 centimeters?

• 196 square centimeters

• 224 square centimeters

• 182 square centimeters

• 210 square centimeters

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CCSS.3.MD.C.7D

How do you find the area of the shaded region if it is a square with a circle cut out?

• By subtracting the area of the circle from the area of the square

• By dividing the area of the square by the area of the circle

• By adding the area of the square and the circle

• By multiplying the area of the square by the area of the circle

Tags

CCSS.3.MD.C.7D