Square Study Guide
A square is a quadrilateral with four equal sides and four right angles. The properties of a square include:
- All four sides are of equal length
- All four angles are right angles (90 degrees)
- The diagonals are of equal length and bisect each other at right angles
- The diagonals divide the square into four congruent right-angled triangles
- The perimeter of a square is given by P = 4s, where s is the length of a side
- The area of a square is given by A = s2, where s is the length of a side
To find the area and perimeter of a square, you can use the following formulas:
Perimeter (P) = 4 x side length (s)
Area (A) = side length (s) x side length (s)
Here's a sample problem to practice:
Problem: Find the perimeter and area of a square with a side length of 5 units.
Solution: To find the perimeter: P = 4 x 5 = 20 unitsTo find the area: A = 5 x 5 = 25 square units
Remember, the key to solving problems involving squares is to understand the properties and use the appropriate formulas to find the perimeter and area.
.◂Math Worksheets and Study Guides Fifth Grade. Area
The resources above cover the following skills:
Geometry (NCTM)
Analyze characteristics and properties of two- and three-dimensional geometric shapes and develop mathematical arguments about geometric relationships.
Identify, compare, and analyze attributes of two- and three-dimensional shapes and develop vocabulary to describe the attributes.
Use visualization, spatial reasoning, and geometric modeling to solve problems.
Use geometric models to solve problems in other areas of mathematics, such as number and measurement.
Measurement (NCTM)
Understand measurable attributes of objects and the units, systems, and processes of measurement.
Understand such attributes as length, area, weight, volume, and size of angle and select the appropriate type of unit for measuring each attribute.
Apply appropriate techniques, tools, and formulas to determine measurements.
Develop, understand, and use formulas to find the area of rectangles and related triangles and parallelograms.