Calculating Areas of Shapes

In this video, Daniel Carrión explains how to calculate the area of composite figures, which are made up of simpler shapes. He begins by reviewing basic concepts of area measurement and then demonstrates how to find the area of irregular polygons by dividing them into known shapes like rectangles and circles. Two examples are provided: one using rectangles and another using a combination of a rectangle and a semicircle. The video concludes with exercises for viewers to practice the concepts learned.

What is the definition of area in geometry?

• The measure of the surface covered by a figure

• The perimeter of a figure

• The length of the sides of a figure

• The volume of a figure

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CCSS.3.MD.C.7B

CCSS.4.MD.A.3

How do you calculate the area of a rectangle?

• Base plus height

• Base minus height

• Base times height

• Base divided by height

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CCSS.3.MD.C.7B

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What is the area of a rectangle with a base of 4 cm and a height of 7 cm?

• 14 square centimeters

• 21 square centimeters

• 35 square centimeters

• 28 square centimeters

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CCSS.3.MD.C.7B

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What is the area of a smaller rectangle with a base of 2 cm and a height of 4 cm?

• 12 square centimeters

• 8 square centimeters

• 6 square centimeters

• 10 square centimeters

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CCSS.3.MD.C.7D

What is the total area of a composite figure made of two rectangles with areas of 28 square centimeters and 8 square centimeters?

• 34 square centimeters

• 36 square centimeters

• 38 square centimeters

• 40 square centimeters

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CCSS.7.G.B.4

How do you calculate the area of a circle?

• Pi times diameter squared

• Pi times radius squared

• Pi times radius

• Pi times diameter

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CCSS.3.MD.C.7B

CCSS.4.MD.A.3

What is the area of a rectangle with a base of 10 cm and a height of 7 cm?

• 70 square centimeters

• 65 square centimeters

• 75 square centimeters

• 60 square centimeters

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CCSS.7.G.B.4

If the diameter of a circle is 7 cm, what is the radius?

• 3.5 cm

• 5.5 cm

• 4.5 cm

• 2.5 cm

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CCSS.7.G.B.4

What is the area of a half-circle with a radius of 3.5 cm?

• 21.23 square centimeters

• 20.23 square centimeters

• 22.23 square centimeters

• 19.23 square centimeters

What is the total area of a composite figure made of a rectangle with an area of 70 square centimeters and a half-circle with an area of 19.23 square centimeters?

• 89.23 square centimeters

• 88.23 square centimeters

• 85.23 square centimeters

• 90.23 square centimeters