# 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 h_{1} and h_{2 }are calculated by the following formula:

**The area of a quadrilateral = 1 / 2 × d × (sum of the height of two triangles) = 1 / 2 × d × ( h _{1} + h_{2})**

**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 × ( h_{1} + h_{2})

= 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 h_{1} = 5 units, and height h_{2} = 7 units

2) length of diagonal = 10 units, height h_{1}= 8 units, and height h_{2} = 4 units

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