'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
Polygon Area and Perimeter Calculator | ||
| Number of Vertices | Displayed Decimal Digits | |
| Vertex | X Value | Y Value |
| 1 | ||
| 2 | ||
| 3 | ||
| 4 | ||
| 5 | ||
| 6 | ||
| 7 | ||
| 8 | ||
| 9 | ||
| 10 | ||
| Perimeter Wetted Perimeter | ||
| Area | ||
Instructions
To calculate the area and wetted perimeter of a channel cross section, begin at the top of the left bank and number each surveyed point, starting at 1, proceeding to the right bank. Enter the number of vertices in the form below, then enter each vertex's x and y values. After entering the required data, click the Calculate button to obtain the cross-sections's area and wetted perimeter. As written, the calculator can process up to 10 vertices.
After clicking the Calculate button, the coordinate values, area and perimeter will displayed using the specified number of decimal digits. The coordinate values displayed are those used to calculate the area and perimeter, so changing the displayed decimal digits may change the x and y coordinate values and may result in the calculation of different values for the polygon's area and perimeter. For many practical problems of interest, results calculated and displayed using 3 decimal digits are adequate.
Clicking the Reset button will erase the form's content and set the number of vertices and displayed decimal digits to 3.
geometry
quadrilateral
General
Trapezoid
Isosceles Trapezoid
Parallelogram
Rhombus
Rectangle
Square
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