In mathematics, the concept of width is often used to describe the measurement of the shortest distance across a two-dimensional shape or object. It is a fundamental attribute used to describe the size of shapes and can be applied to various geometrical figures such as rectangles, squares, and parallelograms.

The method of measuring width can vary depending on the shape being considered:

**Rectangle:**In a rectangle, the width refers to the shorter side of the shape, perpendicular to the length.**Square:**For a square, the width is the same as the length, as all sides are equal.**Parallelogram:**The width of a parallelogram is the perpendicular distance between its two parallel sides.

When working with specific shapes, there are formulas that can be used to calculate the width:

**Rectangle:**The width (w) of a rectangle can be calculated using the formula:**w = width of the rectangle****Square:**Since all sides of a square are equal, the width is the same as the length (l).**Parallelogram:**The width (w) of a parallelogram can be calculated using the formula:**w = b * sin(θ)**, where**b**is the length of the base and**θ**is the angle between the base and one of the slant sides.

To understand the concept of width thoroughly, it's essential to grasp the following key points:

- Identify the width in various shapes and understand the differences in measurement methods for different shapes.
- Practice using the formulas for calculating width in rectangles and parallelograms.
- Work through example problems to solidify understanding of how width is applied in different contexts.
- Recognize the relationship between width and other attributes of a shape, such as length, area, and perimeter.

Study GuideMeasurement, Perimeter, and Circumference Worksheet/Answer key

Measurement, Perimeter, and Circumference Worksheet/Answer key

Measurement, Perimeter, and Circumference Worksheet/Answer key

Measurement, Perimeter, and Circumference

Geometry (NCTM)

Use visualization, spatial reasoning, and geometric modeling to solve problems.

Use geometric models to represent and explain numerical and algebraic relationships.

Measurement (NCTM)

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

Select and apply techniques and tools to accurately find length, area, volume, and angle measures to appropriate levels of precision.

Develop and use formulas to determine the circumference of circles and the area of triangles, parallelograms, trapezoids, and circles and develop strategies to find the area of more-complex shapes.

Connections to the Grade 7 Focal Points (NCTM)

Measurement and Geometry: Students connect their work on proportionality with their work on area and volume by investigating similar objects. They understand that if a scale factor describes how corresponding lengths in two similar objects are related, then the square of the scale factor describes how corresponding areas are related, and the cube of the scale factor describes how corresponding volumes are related. Students apply their work on proportionality to measurement in different contexts, including converting among different units of measurement to solve problems involving rates such as motion at a constant speed. They also apply proportionality when they work with the circumference, radius, and diameter of a circle; when they find the area of a sector of a circle; and when they make scale drawings.