Solving for Composite Area

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

What formulas can be applied to solve problems involving composite plane figures?

• Diameter, radius, and area formulas

• Volume, surface area, and perimeter formulas

• Length, width, and height formulas

• Perimeter, circumference, and area formulas

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

Find the area of the composite figure.

• 100

• 400

• 137.5

• 175

Determine the area of the composite figure shown below.

• 168 centimeters squared 

• 98 centimeters squared 

• 84 centimeters squared 

• 70 centimeters

What is the area of this composite figure to the nearest tenth? ___ sq cm

Mathematical Equivalence

ON

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7.9C

A composite shape is made from a triangle, rectangle, and semicircle. Kylie completes the following computations to solve for area. Where did Kylie make an error in the computation?

(Click on your selection)

What is the area of this composite shape?

• 6444 m²

• 6144 m²

• 4164 m²

• 4614 m²

Find the area of the composite figure.

• 100 m squared

• 131.4 m squared

• 139.25 m squared

• 178.5 m squared 

What is the total area of this composite figure rounded to the nearest whole number?​ (a)  

• 3456 sq. cm

• 168 sq. cm

• 4752 sq. cm

• 1296 sq. cm