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Opening task 3.  Continue to work on IXL 6th grade level.  Skills FF

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Opening task 3.  Continue to work on IXL 6th grade level.  Skills FF

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Try to answer questions 1-4 on this website. Look at the examples at the beginning.

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Find area and perimeter of figures made up of two or more common shapes.

Area of Composite Shapes

Perimeter is the distance around a shape. The perimeter of any figure must have a unit of measurement attached to it. If no specific units are given (feet, inches, centimeters, etc.), write "units."

Area is the amount of space inside a figure. If two figures are congruent, they have the same area ( Congruent Areas Postulate).

Figure \(\PageIndex{1}\)

A composite shape is a shape made up of other shapes. To find the area of such a shape, simply find the area of each part and add them up.

Area Addition Postulate: If a figure is composed of two or more parts that do not overlap each other, then the area of the figure is the sum of the areas of the parts.

Consider a basic house drawn as a triangle on top of a square. How could you find the area of this composite shape?

Example \(\PageIndex{1}\)

Figure \(\PageIndex{2}\)

Solution

Figure \(\PageIndex{3}\)

Example \(\PageIndex{2}\)

Figure \(\PageIndex{4}\)

Solution

Example \(\PageIndex{3}\)
Solution

Example \(\PageIndex{4}\)

Figure \(\PageIndex{5}\)

Solution

Review

Use the picture below for questions 1-4. The composite shape is formed of a square within a square.

Figure \(\PageIndex{6}\)

1. Find the area of the outer square.

2. Find the area of one grey triangle.

3. Find the area of all four grey triangles.

4. Find the area of the inner square.

Find the areas of the figures below. You may assume all sides are perpendicular.

Find the areas of the composite figures.

Use the figure to answer the questions.

Figure \(\PageIndex{15}\)

1. What is the area of the square?

2. What is the area of the triangle on the left?

3. What is the area of the composite figure?

Review (Answers)

To see the Review answers, open this PDF file and look for section 10.6.

Vocabulary

Term

Definition

area
The amount of space inside a figure. Area is measured in square units.

composite shape
A shape made up of other shapes.

perimeter
The distance around a shape. The perimeter of any figure must have a unit of measurement attached to it. If no specific units are given (feet, inches, centimeters, etc), write units.

Composite
A number that has more than two factors.

Additional Resources

Video: Area of a Triangle (Whole Numbers)

Activites: Area of Composite Shapes Discussion Questions

Study Aids: Perimeter and Area Study Guide

Practice: Area and Perimeter of Composite Shapes

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5.18: Area and Perimeter of Composite Shapes

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Find area and perimeter of figures made up of two or more common shapes. Perimeter is the distance around a shape. The perimeter of any figure must have a unit of measurement attached to it. If no specific units are given (feet, inches, centimeters, etc.), write "units."

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Play this game. Write a review in the comment section

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Can you figure out the perimeter of these four-sided polygons? This fun perimeter game helps students practice their perimeter skills.