What Is the Area of 2D Shapes?
The area of a two-dimensional (2D) shape is the measure of the extent of the surface enclosed by the shape. It quantifies the amount of space inside the boundaries of the shape and is expressed in square units. The formula for calculating the area depends on the type of 2D shape.
Area of a Rectangle
Area=length × width
Example: If a rectangle has a length of 6 units and a width of 4 units, the area is 6×4=24 square units.
Area of a Square:
Area=\(side×side \) or \(\text{Area} = \text{side}^2\)
Example: For a square with sides of length 5 units, the area is 5×5=25 square units.
Area of a Triangle:
\(\text{Area}\) = \(\frac{1}{2} \times \text{base} \times \text{height}\)
The area of a triangle is found by multiplying its base and height and dividing by 2.
Area of a Circle:
\(\text{Area}\) = \(\pi \times \text{radius}^2\)
The area of a circle is calculated by multiplying the square of its radius by the mathematical constant \(\piπ\).
Area of a Parallelogram:
\(\text{Area}\) = \(\text{base} \times \text{height}\)
The area of a parallelogram is found by multiplying its base and height.
Area of a Trapezoid:
\(\text{Area} = \frac{1}{2} \times (\text{sum of parallel sides}) \times \text{height}\)
The area of a trapezoid is found by multiplying the sum of its parallel sides by the height and dividing by 2.
