Parallelogram Area Calculator
Find the area of a parallelogram two ways: from a base and its perpendicular height, or from two adjacent sides and the angle between them, which also gives the perimeter.
How to find the area of a parallelogram
- Pick a mode: base and height, or two sides and the included angle.
- Enter the values for that mode.
- Read the area, and the perimeter when sides are supplied.
Examples
Base 8, height 5
base = 8, height = 5
area = 40, perimeter = not available
Sides 8 and 6 with a 30 degree angle
sideA = 8, sideB = 6, angle = 30 degrees
area = 24, perimeter = 28
Frequently asked questions
What is the formula for the area of a parallelogram?
The area equals the base times the perpendicular height. A base of 8 and a height of 5 give an area of 40 square units.
Can I find the area without the height?
Yes. With two adjacent sides and the angle between them, the area equals side A times side B times the sine of that angle.
Why is the perimeter sometimes not available?
Base and height alone do not reveal the slanted side length, so the perimeter is unknown. Supply two sides and an angle to get the perimeter.
How is the perimeter calculated?
A parallelogram has two pairs of equal sides, so the perimeter equals two times the sum of side A and side B.
Does the angle need to be in degrees?
Yes. Enter the angle between the two sides in degrees, from just above 0 up to just below 180. The tool converts it to radians internally.
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