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Free parallelogram area calculator. Calculate area and perimeter of parallelograms using base and height. Our calculator supports squares, rectangles, and all parallelogram types with step-by-step solutions. Perfect for geometry calculations and educational use.
Last updated: February 2, 2026
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Base
5.00 cm
Height
3.00 cm
Perimeter
16.00 cm
Type
Rectangle
Formula:
A = b × h = 5 × 3 = 15.00 cm²
The area of the parallelogram is 15.00 cm². This is a rectangle with base 5 cm and height 3 cm. The area is calculated by multiplying the base by the perpendicular height.
Formula
A = base × height
Most common method using perpendicular height measurement
Formula
A = length × width
Rectangles are parallelograms where height equals adjacent side
Formula
A = s²
Squares have all sides equal and all angles 90 degrees
Methods
Base × height or ½ × diagonals
Rhombuses have equal sides but not necessarily 90° angles
Formula
P = 2(a + b)
Sum of all four sides or twice the sum of adjacent sides
Types
Squares, Rectangles, Rhombuses
All special parallelograms use the base × height formula
For a parallelogram with base = 5 cm and height = 3 cm:
Area
15 cm²
Perimeter
16 cm
Our parallelogram area calculator uses the fundamental geometry formula A = base × height to calculate area and perimeter. The calculation applies geometric principles to analyze quadrilaterals with opposite sides parallel. The formula works for all parallelogram types including squares, rectangles, and rhombuses.
A = base × height = b × h (area formula)P = 2(base + adjacent side) = 2(a + b) (perimeter)Square: A = s² (all sides equal)Rectangle: A = l × w (all angles 90°)The key is using the perpendicular height, not the length of an adjacent side (unless it's a rectangle). The height is always perpendicular to the base, forming a right angle.
Shows base, perpendicular height, and how they form a rectangle
Parallelogram area calculation is based on fundamental geometry principles. The formula derives from the fact that any parallelogram can be transformed into a rectangle with the same area by "cutting and pasting" triangular sections. This geometric transformation demonstrates why base × height works for all parallelograms.
Need help with other geometry calculations? Check out our trapezoid calculator and rectangular prism calculator.
Get Custom Calculator for Your PlatformResult: Area = 48 cm², Perimeter = 28 cm
The parallelogram has an area of 48 square centimeters and a perimeter of 28 centimeters.
Square with side = 5 cm
Area = 5 × 5 = 25 cm²
Perimeter = 4 × 5 = 20 cm
Rhombus with base = 10 cm, height = 7 cm
Area = 10 × 7 = 70 cm²
Perimeter = 4 × 10 = 40 cm
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