Exploring Area of Composite Figures

What is a composite figure?

• A figure made up of a single shape

• A figure that can be divided into multiple new shapes

• A figure that cannot be divided

• A figure made up of only circles

Tags

CCSS.1.G.A.2

How do you find the area of a composite figure?

• Divide the area of the largest shape by the number of shapes

• Subtract the areas of smaller shapes from the largest one

• Multiply the areas of all shapes

• Add the areas of all enclosed figures

Tags

CCSS.3.MD.C.7D

What is the area of the rectangle in Example 1?

• 276 square centimeters

• 114 square centimeters

• 390 square centimeters

• 12 square centimeters

Tags

CCSS.3.MD.C.7B

CCSS.4.MD.A.3

What method is used to calculate the area of the trapezoid in Example 1?

• Length times width

• Base times height

• Half the height times the sum of the bases

• Pi times radius squared

Tags

CCSS.6.G.A.1

In Example 2, how is the area of the circle calculated?

• Half the height times the sum of the bases

• Base times height

• Length times width

• Pi times radius squared

Tags

CCSS.7.G.B.4

What shapes make up the composite figure in Example 3?

• Two hemispheres and a parallelogram

• Rectangle, triangle, and hemisphere

• Two triangles and a rectangle

• A circle and a rectangle

Tags

CCSS.1.G.A.2

How is the area of the hemisphere calculated in Example 3?

• Pi times radius squared

• Half of pi times radius squared

• Length times width

• Base times height

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

What is the total area of the composite figure in Example 3?

• 173.1 square inches

• 390 square centimeters

• 220.53 square meters

• 325.23 square feet

In Example 4, what theorem is used to find the height of the triangle?

• Pythagorean theorem

• Theorem of circles

• Area theorem

• Trapezoidal rule

Tags

CCSS.6.G.A.1

What is the total area of the composite figure in Example 4?

• 390 square centimeters

• 173.1 square inches

• 325.23 square feet

• 220.53 square meters