Area of Triangles and Parallelograms and Composite Shapes

Which regular shapes make up the composite figure below?

• 2 triangles, 1 rectangle

• 1 triangle, 2 parallelograms

• 1 triangle, 1 square, 1 rectangle

• 1 triangle, 2 rectangles

When solving contextual problems involving composite plane figures, what should be the final step?

• Subdividing the figure into known shapes

• Identifying the number of sides in the figure

• Finding the dimensions of the figure

• Calculating the area or perimeter of the entire figure

How can the area of a composite figure be calculated if the areas of the subdivisions are known?

• By dividing the areas of the subdivisions

• By multiplying the perimeters of the subdivisions

• By subtracting the areas of the subdivisions

• By adding the areas of the subdivisions

What attribute is used to determine the area of subdivisions in a composite figure?

• Area

• Perimeter

• Volume

• Circumference

In a composite figure, what is the purpose of subdividing the figure into known shapes?

• To simplify calculations

• To change the shape of the figure

• To increase the area of the figure

• To decrease the perimeter of the figure

Which of the following is an example of a composite plane figure?

• A single triangle

• A figure made up of multiple shapes

• A perfect circle

• A square with equal sides

What attribute is used to determine the perimeter of a composite figure?

• Length of sides

• Area of subdivisions

• Volume of subdivisions

• Circumference of subdivisions

Which of the following is NOT a subdivision that can be used in a composite figure?

• Pentagon

• Rectangle

• Triangle

• Parallelogram

Find the area.

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Find the area of the composite figure. Show the formula work for both shapes.

Don't forget to combine both shapes for the total area.

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