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1. Convert Online
2. Mathematics
3. Geometry
4. Quadrilateral Area

\(d\)

(diagonal)

units

\(h_1\)

(height 1)

units

\(h_2\)

(height 2)

units

Area

square units

Copy

How to use this Quadrilateral Area Calculator 🤔

1. Enter ✎ value for diagonal \((d)\).
2. Enter ✎ value for height 1 \((h_1)\).
3. Enter ✎ value for height 2 \((h_2)\).
4. As soon as you enter the required input value(s), the Quadrilateral Area is calculated immediately, and displaed in the output section (present under input section).

Quadrilateral Area

The area of a quadrilateral is a measure of the space enclosed by the four sides of quadrilateral.

To calculate the area of a quadrilateral, you need a diagonal (d) and the perpendicular distance from the other two vertices to this diagonal: h₁, h₂.

Formula

To calculate the quadrilateral area, you can use the following formula.

Area = \( \frac{ d ( h_1 + h_2 )}{2} \)

where

Calculation

{
  "topic": "quadrilateral-area",
  "img": {
    "width": 267,
    "height": 317
  },
  "input_types": [
    "float",
    "float",
    "float"
  ],
  "input_labels": [
    "d",
    "h_1",
    "h_2"
  ],
  "input_values": [
    "8",
    "4",
    "3"
  ],
  "input_units": [
    "units",
    "units",
    "units"
  ],
  "input_descriptions": [
    "diagonal",
    "height 1",
    "height 2"
  ],
  "examples": [
    {
      "d": 20,
      "h_1": 5,
      "h_2": 10
    },
    {
      "d": 1,
      "h_1": 0.5,
      "h_2": 0.25
    }
  ],
  "type": "Calculate",
  "title": "Quadrilateral Area",
  "category": "Geometry",
  "shape": "Quadrilateral",
  "formula_mathjax": "\\( \\frac{ d ( h_1 + h_2 )}{2} \\)",
  "formula_mathjax_sub": "\\( \\frac{ d \\times ( h_1 + h_2 )}{2} \\)",
  "formula": "( d * ( h_1 + h_2 )/2 )",
  "op_label": "Area",
  "output_unit": "square units",
  "description": "The Quadrilateral Area calculator calculates the area of a auadrilateral shape by taking the length of diagonal, and the heights of perpendiculars drawn from other two vertices to the diagonal, as inputs.",
  "explanation": "The area of a quadrilateral is a measure of the space enclosed by the four sides of quadrilateral.</p><p>To calculate the area of a quadrilateral, you need a diagonal (d) and the perpendicular distance from the other two vertices to this diagonal: h<sub>1</sub>, h<sub>2</sub>."
}