Area
Area is the measure of the size of a surface or a two-dimensional shape. It is the amount of space inside the boundary of a flat object, such as a square, triangle, circle, etc. Area is measured in square units, such as square meters, square centimeters, square feet, etc.
Formulas for Calculating Area
Here are the basic formulas for calculating the area of some common shapes:
- Square: Area = side length * side length
- Rectangle: Area = length * width
- Triangle: Area = (base * height) / 2
- Circle: Area = π * (radius * radius) or Area = π * (diameter/2) * (diameter/2)
Units of Area
Area is measured in square units. Some common units of area include:
- Square meters (m2)
- Square centimeters (cm2)
- Square kilometers (km2)
- Square feet (ft2)
- Square inches (in2)
Examples
Let's work through some examples to practice calculating the area of different shapes:
- Calculate the area of a square with a side length of 5 meters.
- Find the area of a rectangle with a length of 8 centimeters and a width of 4 centimeters.
- Determine the area of a triangle with a base of 10 meters and a height of 6 meters.
- Calculate the area of a circle with a radius of 3.5 meters.
Practice Problems
Now, it's time for you to practice! Here are some practice problems for you to solve:
- Find the area of a square with a side length of 7 centimeters.
- Calculate the area of a rectangle with a length of 12 meters and a width of 5 meters.
- Determine the area of a triangle with a base of 15 centimeters and a height of 8 centimeters.
- Calculate the area of a circle with a radius of 6 inches.
Once you've completed these practice problems, you'll have a good understanding of how to calculate the area of different shapes!
[Area] Related Worksheets and Study Guides:
.◂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.