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.

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)

Area is measured in square units. Some common units of area include:

- Square meters (m
^{2}) - Square centimeters (cm
^{2}) - Square kilometers (km
^{2}) - Square feet (ft
^{2}) - Square inches (in
^{2})

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.

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!

Study GuideCompare and Order Numbers Worksheet/Answer key

Compare and Order Numbers Worksheet/Answer key

Compare and Order Numbers Worksheet/Answer key

Compare and Order Numbers

Number and Operations (NCTM)

Understand numbers, ways of representing numbers, relationships among numbers, and number systems.

Understand the place-value structure of the base-ten number system and be able to represent and compare whole numbers and decimals.

Algebra (NCTM)

Use mathematical models to represent and understand quantitative relationships.

Model problem situations with objects and use representations such as graphs, tables, and equations to draw conclusions.

Connections to the Grade 5 Focal Points (NCTM)

Number and Operations: Building on their work in grade 4, students extend their understanding of place value to numbers through millions and millionths in various contexts. They apply what they know about multiplication of whole numbers to larger numbers. Students also explore contexts that they can describe with negative numbers (e.g., situations of owing money or measuring elevations above and below sea level).