Perimeters and Areas of Composite Figures

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

• Circumference of the subdivisions

• Volume of the subdivisions

• Area of the subdivisions

How can the perimeter of a composite plane figure be calculated?

• By dividing the areas of the subdivisions

• By subtracting the areas of the subdivisions

• By multiplying the areas of the subdivisions

• By adding the perimeters of the subdivisions

What is the first step in solving contextual problems involving composite plane figures?

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Find the area of the given figure. (Figure with multiple rectangles and squares)

• The length of the longest side of the figure

• The sum of the areas of all the rectangles and squares in the figure.

• The volume of the figure

• The perimeter of the figure

Calculate the total area of the composite figure shown. (Figure with a combination of rectangles and triangles)

• The answer will depend on the specific measurements of the composite figure.

• The total area is impossible to calculate

• The total area is always 100 square units

• The total area is equal to the sum of the areas of all the shapes

Determine the area of the shaded region in the composite figure. (Figure with overlapping shapes)

• The area of the shaded region is the average of the areas of all the individual shapes

• The area of the shaded region is the sum of the areas of all the individual shapes

• The area of the shaded region is the same as the area of the largest individual shape

• The correct answer for the area of the shaded region in the composite figure is the calculated value after subtracting the area of the overlapping portion from the sum of the areas of all the individual shapes.

Find the area of the given L-shaped figure. (Figure with an L-shaped combination of rectangles)

• The area of the L-shaped figure is the sum of the areas of the two rectangles without subtracting the overlapping area

• The area of the L-shaped figure is the area of the smaller rectangle only

• The correct answer for the area of the L-shaped figure is the sum of the areas of the two rectangles minus the overlapping area.

• The area of the L-shaped figure is the area of the larger rectangle only

Calculate the total area of the composite figure shown. (Figure with a combination of circles and rectangles)

• The total area of the composite figure is the average of the areas of all the individual shapes.

• The total area of the composite figure is the sum of the areas of all the individual shapes.

• The total area of the composite figure is the difference of the areas of all the individual shapes.

• The total area of the composite figure is the product of the areas of all the individual shapes.

Find the area of the given figure. (Figure with a combination of triangles and rectangles)

• The area of the figure is the average of the areas of all the individual shapes

• The correct answer for the total area of the figure is the sum of the areas of all the individual shapes.

• The area of the figure is the perimeter of the figure

• The area of the figure is the sum of the perimeters of all the individual shapes

What is the perimeter of the following figure?

• 73.68 ft

• 54.85 ft

• 37.68 ft

• 97.68 ft