Area of a Quadrilateral Calculator

'Cuemath's Area of a Quadrilateral Calculator' is an online tool that helps to calculate the area of a quadrilateral.

What is the Area of a Quadrilateral Calculator?

 Cuemath's online calculator helps you to calculate the Area of a Quadrilateral in a few seconds.

How to Use the Area of a Quadrilateral Calculator?

Please follow the below steps to find the area of a quadrilateral:

• Step 1: Enter the diagonal of the quadrilateral in the given input box.
• Step 2: Enter the height of the two triangles in the given input box.
• Step 3: Click on the "Calculate" button to find the area of a quadrilateral.
• Step 4: Click on the "Reset" button to clear the fields and find the area of a quadrilateral for different values.

How to Find the Area of a Quadrilateral?

A quadrilateral is defined as a polygon with four edges (sides) and four vertices (corners). The area of a quadrilateral is the number of unit squares that can be fit into it and it is measured in square units. The area of a quadrilateral whose diagonal 'd', and height of the triangles be h₁ and h₂ are calculated by the following formula:

The area of a quadrilateral = 1 / 2 × d × (sum of the height of two triangles) = 1 / 2 × d × ( h₁ + h₂)

Solved Example:

Find the area of the quadrilateral ABCD if the diagonal of a quadrilateral is 10 units and the heights of the triangles are 6 units and 8 units respectively

Solution:

The area of a quadrilateral = 1 / 2 × d × ( h₁ + h₂)

= 1 / 2 × 10 × ( 6 + 8)

=  5 × 14

= 70 square units

Therefore, the area of a quadrilateral is 70 square units.

Similarly, you can try the calculator to determine the area of the quadrilateral with the following dimensions:

1) length of diagonal = 16 units, height h₁ = 5 units, and height h₂ = 7 units

2) length of diagonal = 10 units, height h₁= 8 units, and height h₂ = 4 units