A rectangle is a two-dimensional shape with four sides, where each angle is a right angle (90 degrees). The opposite sides of a rectangle are equal in length, and the adjacent sides are also equal in length.

Properties of Rectangles

1. Equal Opposite Sides: In a rectangle, the opposite sides are equal in length.

2. Equal Adjacent Sides: The adjacent sides of a rectangle are also equal in length.

3. Right Angles: Each angle in a rectangle measures 90 degrees.

4. Diagonals: The diagonals of a rectangle are equal in length and bisect each other at right angles.

Formulas for Rectangles

1. Perimeter of a Rectangle: The perimeter (P) of a rectangle is given by the formula P = 2*(length + width).

2. Area of a Rectangle: The area (A) of a rectangle is calculated using the formula A = length * width.

Example Problems

1. Find the perimeter of a rectangle:
Length = 5 cm, Width = 3 cm
Perimeter = 2*(5 + 3) = 2*(8) = 16 cm

2. Calculate the area of a rectangle:
Length = 6 m, Width = 4 m
Area = 6 * 4 = 24 square meters

Practice Questions

Find the perimeter of a rectangle with length 10 cm and width 7 cm.
Calculate the area of a rectangle with length 12 m and width 8 m.
If the perimeter of a rectangle is 36 inches and its length is 9 inches, find the width of the rectangle.
Determine the area of a rectangle with a perimeter of 28 cm and a width of 4 cm.

Remember, to find the answers to the practice questions, use the formulas for perimeter and area of a rectangle. Good luck!

◂Math Worksheets and Study Guides Sixth Grade. Diameter of Circle

The resources above cover the following skills:

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 6 Focal Points (NCTM)

Measurement and Geometry: Problems that involve areas and volumes, calling on students to find areas or volumes from lengths or to find lengths from volumes or areas and lengths, are especially appropriate. These problems extend the students' work in grade 5 on area and volume and provide a context for applying new work with equations.