Skip to main content
Calculator Answers

Parallelogram Calculator

Blake Boege
Written by Blake Boege · Founder, Calculator Answers

A parallelogram calculator is a geometric utility that computes the area, perimeter, diagonal lengths, and internal angles of a parallelogram. It uses formulas where the area equals base times height, or uses side lengths and the sine of an internal angle for trigonometric evaluations. The calculator can solve for all properties from varying combinations of inputs, displaying step-by-step mathematical breakdowns. Students, architects, and engineers use this tool to analyze structural profiles and solve academic exercises.

Enter the base, perpendicular height, and slant side. The calculator returns the area, perimeter, and the interior angle at the base.

Quick Answer

Calculate parallelogram properties. Enter the base, height, side lengths, or angles to compute area, perimeter, and diagonals.

One pair of parallel sides. · e.g. 10

Perpendicular distance between the two base sides. · e.g. 6

One of the other pair of parallel sides. · e.g. 7

Area uses base and height. Perimeter sums two bases and two slant sides. The interior angle is derived from h ÷ s when height ≤ slant side.

Parallelogram

Area

60

10 × 6

Base10
Height6
Slant side7
Area60
Perimeter34
Angle (derived)59°

Area = base × height · Perimeter = 2 × (base + slant side). Height is perpendicular to the base, not the slant side.

Was this helpful?

Examples

Base 10, height 6, slant 7

area 60 · perimeter 34 · angle ≈ 59.0°

Base 8, height 4, slant 8

area 32 · perimeter 32 · angle = 30°

Base 5, height 5, slant 5

area 25 · perimeter 20 · angle = 90° (rectangle)

How it works

A parallelogram has two pairs of parallel sides. Area uses base and perpendicular height; perimeter uses base and slant side. The interior angle is derived from the relationship between height and slant side.

Area · A = base × height

Perimeter · P = 2 × (base + slant side)

Angle · θ = arcsin(height ÷ slant side)

Related geometry calculators

Related Calculators

More tools from Education

Area Calculator – Find the Area of a ShapeFind the area of a shape from one tool. Supports circle, triangle, rectangle, and other common 2D geometric shapes.

Frequently asked questions

A parallelogram is a four-sided polygon with two pairs of parallel sides. Opposite sides are equal in length and opposite angles are equal. Rectangles, rhombuses, and squares are all special cases of parallelograms.

Multiply the base by the perpendicular height: A = base × height. The height is not the slant side; it is the perpendicular distance from the base to the opposite parallel side. For a parallelogram with base 10 and height 6, the area is 60 square units.

Add up all four sides: P = 2 × (base + slant side), since opposite sides are equal. For base 10 and slant side 7, the perimeter is 2 × 17 = 34 units.

The slant side is the actual length of the non-base side, drawn at whatever angle the parallelogram leans. The height is shorter than the slant side (or equal when it is a rectangle) and is measured perpendicular to the base. The two are linked by sin(angle) = height ÷ slant side.

Yes. A rectangle is a parallelogram with all four angles equal to 90°. When the height equals the slant side, the parallelogram is a rectangle. Squares add the further constraint that the base equals the slant side.

The interior angle at the base is found from sin(angle) = height ÷ slant side. If you provide height and slant side, the calculator returns the angle in degrees. The opposite angle is the same; the adjacent angles total 180°.