Exploring the Area of Composite Figures

What is an irregular figure?

• A figure that is always a rectangle

• A figure with an unfamiliar shape

• A figure that cannot be divided

• A figure with a familiar shape

Tags

CCSS.1.G.A.2

How can you find the area of a composite figure?

• By adding the areas of its parts

• By multiplying its dimensions

• By using the Pythagorean theorem

• By measuring its perimeter

What is the purpose of dividing composite figures into familiar shapes?

• To make them easier to draw

• To simplify the calculation of their area

• To increase their size

• To change their geometric properties

Tags

CCSS.3.MD.C.7D

What shapes were used to calculate the area of the first composite figure?

• Triangles and rectangles

• Circles and squares

• Rectangles only

• Trapezoids and circles

What is the area of the first composite figure?

• 44 cm²

• 157 mm²

• 27 cm²

• 100 mm²

Tags

CCSS.6.G.A.1

How do you calculate the area of a triangle?

• Length times width

• Base plus height

• Base times height divided by two

• Base times height

Tags

CCSS.6.G.A.1

How is the radius of the circle related to the height of the triangle in the second composite figure?

• The height is double the radius

• They are equal

• The radius is half of the height

• There is no relation

What is the total area of the second composite figure?

• 314 mm²

• 100 mm²

• 257 mm²

• 157 mm²

What method is used to find the height of the triangle in the third composite figure?

• Doubling the base length

• Subtracting given distances

• Using the Pythagorean theorem

• Measuring directly

Tags

CCSS.HSG.MG.A.1

What is the combined area of the third composite figure?

• 330.6 mm²

• 136.8 mm²

• 257 mm²

• 467.4 mm²