A square is a special type of quadrilateral, a four-sided polygon, with all sides of equal length and all angles of 90 degrees. This means that all the sides are the same length and all the angles are right angles.

**Equal sides:**All four sides of a square are of equal length.**Right angles:**All four angles of a square are right angles (90 degrees).**Diagonals:**The diagonals of a square are of equal length and bisect each other at right angles.**Perimeter:**The perimeter of a square is the sum of all its four sides, given by the formula:*Perimeter = 4 x side length*.**Area:**The area of a square is given by the formula:*Area = side length x side length*or*Area = side length*.^{2}

Here are the important formulas related to a square:

- Perimeter of a square:
*P = 4s*(where*P*is the perimeter and*s*is the length of a side) - Area of a square:
*A = s*(where^{2}*A*is the area and*s*is the length of a side)

Let's solve a couple of example problems to understand how to use the formulas for a square.

**Example 1:** Find the perimeter and area of a square with side length 5 cm.

*Perimeter = 4 x 5 = 20 cm*

*Area = 5 ^{2} = 25 cm^{2}*

**Example 2:** If the area of a square is 49 square units, find the length of each side.

*Area = s ^{2} = 49*

*s = √49 = 7 units*

Now, it's time to practice solving some problems related to squares. Try solving the following problems:

- Find the perimeter of a square with side length 8 cm.
- Calculate the area of a square with side length 12 meters.
- If the perimeter of a square is 20 units, find the length of each side.

By understanding the properties and formulas for squares, you can solve various problems related to this topic. Good luck with your practice problems!

Study GuideDiameter of Circle Worksheet/Answer key

Diameter of Circle Worksheet/Answer key

Diameter of Circle Worksheet/Answer key

Diameter of Circle

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.