Exploring the Area of Composite Figures

What defines a composite figure in geometry?

• A shape consisting of one simple geometric figure

• A figure made up of multiple different shapes

• A figure with only curved edges

• A figure that cannot be divided into simpler shapes

How do you find the area of a composite figure?

• Divide the figure into simpler shapes and sum their areas

• Use the Pythagorean theorem to find the area

• Add the areas of all enclosed shapes

• Multiply the dimensions of the outermost shape

Tags

CCSS.3.MD.C.7B

CCSS.4.MD.A.3

What is the area of a rectangle with a length of 23 cm and width of 12 cm?

• 276 cm²

• 235 cm²

• 255 cm²

• 265 cm²

Tags

CCSS.6.G.A.1

How do you calculate the area of a trapezoid?

• Base times height

• Pi times radius squared

• Length times width

• Half the sum of the bases times the height

What is the total area of a figure composed of a parallelogram and two semicircles?

• 150 cm²

• 183.1 cm²

• 160 cm²

• 173.1 cm²

Tags

CCSS.7.G.B.4

How is the area of a circle calculated?

• Length times width

• Base times height

• Half the sum of the bases times the height

• Pi times radius squared

What is the area of the shaded region when a circle is subtracted from a square?

• 145.13 cm²

• 120.13 cm²

• 150.13 cm²

• 134.13 cm²

Tags

CCSS.HSG.C.A.2

What method is used to find the radius in a right triangle?

• Multiplication of sides

• Subtraction of sides

• Addition of sides

• Pythagorean theorem

What is the area of the shaded region involving a semicircle and a triangle?

• 117.83 cm²

• 110.83 cm²

• 120.83 cm²

• 130.83 cm²

Tags

CCSS.6.G.A.1

What is the area of a triangle with a base of 9 cm and height of 21.6 cm?

• 100.2 cm²

• 90.2 cm²

• 97.2 cm²

• 95.2 cm²

Tags

CCSS.6.G.A.1