The width of a shape or object is the measurement of the distance from one side to the other, usually the shorter of the two dimensions. It is a fundamental concept in geometry and is used to describe the size of various two-dimensional and three-dimensional figures.

When measuring the width of a shape or object, it's important to use the appropriate units of measurement such as inches, centimeters, or feet, depending on the context. The width can be measured using a ruler, tape measure, or other measuring tools.

Examples of width include the width of a rectangle, square, circle, triangle, and other geometric shapes. In real-world applications, width is used to describe the size of various objects such as doors, windows, tables, and more.

The formulas for calculating the width of common shapes are as follows:

- Rectangle: width = length / 2
- Square: width = side length
- Circle: width (diameter) = 2 * radius
- Triangle: width = base length

Now that you have learned about width, try solving the following practice problems:

- Find the width of a rectangle with a length of 8 inches and a width of 4 inches.
- Determine the width of a circle with a radius of 5 centimeters.
- Calculate the width of a square with a side length of 10 meters.

Understanding the concept of width is essential for solving various mathematical and real-world problems involving shapes and objects. By practicing the calculation of width and applying the appropriate formulas, you can develop a strong grasp of this important geometric concept.

Study GuideSimilarity and scale Worksheet/Answer key

Similarity and scale Worksheet/Answer key

Similarity and scale Worksheet/Answer key

Similarity and scale Worksheet/Answer keyUsing Similar Polygons Worksheet/Answer keySimilar Polygons Worksheet/Answer keyUsing Similar Polygons Worksheet/Answer keySimilar Polygons

Number and Operations (NCTM)

Understand numbers, ways of representing numbers, relationships among numbers, and number systems.

Understand and use ratios and proportions to represent quantitative relationships.

Compute fluently and make reasonable estimates.

Develop, analyze, and explain methods for solving problems involving proportions, such as scaling and finding equivalent ratios.

Geometry (NCTM)

Analyze characteristics and properties of two- and three-dimensional geometric shapes and develop mathematical arguments about geometric relationships.

Understand relationships among the angles, side lengths, perimeters, areas, and volumes of similar objects.

Create and critique inductive and deductive arguments concerning geometric ideas and relationships, such as congruence, similarity, and the Pythagorean relationship.

Apply transformations and use symmetry to analyze mathematical situations.

Describe sizes, positions, and orientations of shapes under informal transformations such as flips, turns, slides, and scaling.

Measurement (NCTM)

Apply appropriate techniques, tools, and formulas to determine measurements.

Solve problems involving scale factors, using ratio and proportion.

Grade 8 Curriculum Focal Points (NCTM)

Geometry and Measurement: Analyzing two- and three-dimensional space and figures by using distance and angle

Students use fundamental facts about distance and angles to describe and analyze figures and situations in two- and three-dimensional space and to solve problems, including those with multiple steps. They prove that particular configurations of lines give rise to similar triangles because of the congruent angles created when a transversal cuts parallel lines. Students apply this reasoning about similar triangles to solve a variety of problems, including those that ask them to find heights and distances. They use facts about the angles that are created when a transversal cuts parallel lines to explain why the sum of the measures of the angles in a triangle is 180 degrees, and they apply this fact about triangles to find unknown measures of angles. Students explain why the Pythagorean Theorem is valid by using a variety of methods - for example, by decomposing a square in two different ways. They apply the Pythagorean Theorem to find distances between points in the Cartesian coordinate plane to measure lengths and analyze polygons and polyhedra.