Quadrilateral Area Formulas

About Quadrilateral Area Formulas

The area of a closed figure with four sides, known as a quadrilateral, is calculated using quadrilateral area formulas. Different varieties of quadrilaterals exist based on the qualities of various parameters. The quadratic area formulas will be covered in the following sections.

What are Quadrilateral Area Formulas?

Quadrilateral area formulas are used to compute the area of a closed figure having four sides, known as a quadrilateral. Quadrilaterals come in variety of shapes & sizes, depending on the properties of several parameters. The following sections will go over the quadratic area formulas.

When a quadrilateral is divided into separate triangles, as seen in the illustration below:

Quadrilateral Area1

we have 2 triangles BCD and ABD

Calculating the areas of the triangles separately,

Area of triangle BCD = (1/2) × d ×h1h1

Area of triangle ABD = (1/2) × d ×h2h2

Area of quadrilateral ABCD = Sum of areas of ΔBCD and ΔABD.

Thus, area of the quadrilateral ABCD = (1/2) × d ×h1+ (1/2) × d ×h2= (1/2) × d × (h2+h2).

When one of the quadrilateral formula's diagonals and the heights of the triangles (formed by the provided diagonal) are known, the area of the quadrilateral formula is,

Area = (1/2) × Diagonal × (Sum of heights)

Quadrilateral Area2

List of Quadrilateral Area Formulas

Name of Quadrilateral

Area of Quadrilateral Formulas
Square (side)2
Rhombus (1 ⁄ 2) × product of diagonals
Kite (1 ⁄ 2) × product of diagonals
Parallelogram base × height
Rectangle length × breadth
Trapezoid 1/2 × (sum of the lengths of parallel sides) × height

Our experts prepared a List of all Maths formulas used in different calculations. 

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Quadrilateral Area Formulas
Quadrilateral Area Formulas

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