Exploring the Area of Composite Figures

What is a composite figure?

• A shape made from a single type of geometric figure

• A shape made up of two or more different shapes

• A figure made up of only circles

• A figure that cannot be divided into simpler shapes

Tags

CCSS.1.G.A.2

How can the area of a composite figure be found?

• By multiplying the areas of all shapes involved

• By calculating the perimeter of each shape and adding them

• By adding or subtracting the areas of each shape

• By dividing the area of the largest shape by the number of shapes

Tags

CCSS.3.MD.C.7D

What shapes are used to decompose the composite figure resembling a lamp?

• Hexagons and triangles

• Trapezoids and circles

• Circles and rectangles

• Triangles and squares

Tags

CCSS.1.G.A.2

What shapes make up the composite figure used as an example resembling a house?

• A circle and a square

• Four rectangles

• Two trapezoids

• A triangle and a rectangle

Tags

CCSS.1.G.A.2

How do you calculate the area of a triangle?

• Half the base plus the height

• Base times height

• Base times height divided by two

• Base plus height

Tags

CCSS.6.G.A.1

When calculating the area of composite figures, what operation might be necessary besides addition?

• Multiplication

• Division

• Subtraction

• Square rooting

Tags

CCSS.3.MD.C.7D

In the landscaping example, what method is used to find the area around the patio?

• Division of the total area by the number of shapes

• Subtraction of the patio area from the total area

• Multiplication of the length and width of the patio

• Addition of all individual shapes' areas

Tags

CCSS.3.MD.C.7D

What is the formula for the area of a rectangle?

• Length divided by width

• Length times width

• Length minus width

• Length plus width

Tags

CCSS.3.MD.C.7B

CCSS.4.MD.A.3

How is the area of a semi-circle calculated?

• Pi times diameter squared divided by four

• Pi times diameter squared

• Pi times radius squared

• Pi times radius squared divided by two

Tags

CCSS.7.G.B.4

What is the radius of a circle if its diameter is given as 12 units?

• 24 units

• 3 units

• 6 units

• 12 units

Tags

CCSS.7.G.B.4