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.

There are different formulas for calculating the area of different shapes:

The area of a rectangle is calculated using the formula:

For a square, the area is calculated using the formula:

Area = side x side (or Area = side^{2})

The area of a triangle is calculated using the formula:

Area = 0.5 x base x height

The area of a circle is calculated using the formula:

Area = π x radius^{2}

Where π (pi) is a constant approximately equal to 3.14159 and radius is the distance from the center of the circle to its outer edge.

Area is typically measured in square units. Common units of area include square meters (m^{2}), square centimeters (cm^{2}), square feet (ft^{2}), and square inches (in^{2}), among others.

- Calculate the area of a rectangle with a length of 8 cm and a width of 5 cm.
- Find the area of a square with a side length of 6 meters.
- Determine the area of a triangle with a base of 10 inches and a height of 8 inches.
- Calculate the area of a circle with a radius of 4 centimeters.

Understanding how to calculate the area of different shapes is important in various real-world situations, such as measuring the floor space of a room, determining the amount of material needed for a construction project, or finding the area of a piece of land.

Area is a fundamental concept in mathematics and is used to measure the size of two-dimensional shapes. By applying the appropriate formulas, one can calculate the area of rectangles, squares, triangles, circles, and other shapes. Mastery of this topic is essential for solving mathematical problems and engaging in real-world applications.

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Perimeter Worksheet/Answer key

Perimeter Worksheet/Answer key

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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.