Area Calculator
Calculate the area for various 2D shapes including rectangles, squares, triangles, circles, trapezoids, and parallelograms.
Dimensions
Result:
Area: 0.0000 square units
rectangle
Step-by-Step Solution:
About Area
What is Area?
Area is the amount of space inside a two-dimensional shape. It is measured in square units (square inches, square feet, square meters, etc.) and represents the surface enclosed by the boundary.
Area Formulas
Rectangle: A = length × width
Square: A = side²
Triangle: A = ½ × base × height
Circle: A = πr²
Trapezoid: A = ½(base₁ + base₂) × height
Parallelogram: A = base × height
Real-World Applications
- Flooring: Calculate tile or carpet needed
- Painting: Determine paint coverage requirements
- Landscaping: Calculate sod, mulch, or seed needed
- Real Estate: Measure room and property sizes
- Agriculture: Determine field sizes and crop yields
Frequently Asked Questions
What's the difference between area and perimeter?
Area measures the space inside a shape (square units), while perimeter measures the distance around the outside (linear units).
Why is triangle area ½ × base × height?
A triangle is half of a parallelogram with the same base and height. Since a parallelogram's area is base × height, a triangle's area is half that.
What units are used for area?
Area is measured in square units: square inches (in²), square feet (ft²), square meters (m²), acres, hectares, etc.
Can two shapes have the same area but different perimeters?
Yes! For example, a 2×8 rectangle and a 4×4 square both have area 16, but their perimeters are 20 and 16 respectively.
How do you convert between area units?
Square the conversion factor. For example, since 1 ft = 12 in, then 1 ft² = 144 in² (12²).
What is surface area vs area?
Area refers to 2D shapes, while surface area refers to the total area of all faces of a 3D object.