Square: Explanation and Study Guide

Definition of a Square:

A square is a four-sided polygon (quadrilateral) with four right angles and four equal sides. In a square, opposite sides are parallel and equal in length, and all interior angles measure 90 degrees.

Properties of a Square:

1. Equal sides: All four sides of a square are of equal length.
2. Right angles: All four angles in a square are right angles (90 degrees).
3. Diagonals: The diagonals of a square are equal in length and bisect each other at right angles.
4. Area: The area of a square is calculated using the formula: Area = side x side or Area = side².
5. Perimeter: The perimeter of a square is calculated by adding the lengths of all four sides: Perimeter = 4 x side.

Formulas for Square:

• Area: A = s²
• Perimeter: P = 4s

Examples of Square Problems:

1. Find the area and perimeter of a square with side length 5 units.

2. If the area of a square is 49 square meters, find the length of each side.

3. A square has a perimeter of 24 cm. Find the length of each side and the area of the square.

Study Tips:

- Memorize the formulas for finding the area and perimeter of a square.

- Practice drawing and identifying squares based on their properties.

- Work through example problems to understand how to apply the formulas in various situations.

- Understand the relationship between the side length, area, and perimeter of a square.

[Square] Related Worksheets and Study Guides:

• Perimeter and areaMathematics • Eighth Grade
• AreaMathematics • Fifth Grade