**How to Find Area of Quadrilateral?**

The term quadrilateral is defined as a polygon with 04 edges and 04 vertices. It is used by analogy with triangle, and tetragon for constancy with pentagon (Five-sided), hexagon (Six-sided) and so on.

Want to know **How to Find Area of Quadrilateral**? If yes, then check Formula Of Area Of Quadrilateral, way to find Area Of A Cyclic Quadrilateral using calculator etc from this single page.

__What Is The Area Of Quadrilateral__?

The Quadrilateral has the following properties and it is 2-dimensional (a flat shape), closed (the lines join up), and has straight sides.

- Four Sides (Edges)
- Four Vertices (Corners)
- Interior Angles That Add To 360 Degrees

How To Find Area Of Right Angled Triangle: __Formula with Examples__

### How To Find The Area Of A Quadrilateral?

Following Formula for Area of Quadrilateral is helpful for you to Find The Area Of A Quadrilateral, must have a glance:

__Area Of Quadrilateral General Formula__

Area = (s1 × s2) × sin(θ)

__Area Of The Quadrilateral of a Rectangle__

Area = base × height, or A = b × h

__For Example__:

If the base of a rectangle has a length of 10 inches and the height has a length of 5 inches, then the area of the rectangle is simply

=10 × 5 (b × h) = 50 square inches.

Formula to Calculate Area, Perimeter, Circumference: __Find Area of Circle__

__Area of Quadrilateral of a Square__

Area = side × side or A = s^{2}

__For Example__:

If one side of a square has a length of 4 feet, (t = 4), then the area of this square is simply t^{2}, or 4 x 4 = 16 square feet.

Check Formula Of: __Surface Area of Sphere__

__Calculate Area Of Quadrilateral of a Rhombus__

Area = (d1 × d2)/2

__For Example__:

1. If a rhombus has diagonals with a length of 6 meters and 8 meters, then its area is simply =(6 × 8)/2 = 48/2 = 24 square meters.

2. A rhombus has sides of 10 miles and 5 miles and the straight-line distance between the 10 mile (16.1 km) sides is 3 miles (4.8 km). If you want to find the area of the rhombus, you would multiply 10 × 3 = 30 square miles.

__Types of Quadrilaterals__

There are following types of quadrilateral as listed below:

- The Rectangle
- The Rhombus
- The Square
- The Parallelogram
- The Trapezoid (UK: Trapezium)
- The Kite
- The Polygonetc

Get Maths Vedic/Basic Formulas Free List: __Maths Formulas__

__How to Find Area Of Irregular Quadrilateral__?

Consider the following, in a quadrilateral the diagonal is 42 cm and the two perpendiculars on it from the other vertices are 8 cm and 9 cm respectively. Find the Area Of Quadrilateral Formula With Diagonals.

__Solution__:

Given that from the figure AC=42m, BN=9 m and DM=8 m

The area of ABCD= area of ΔABC+area of ΔACD

The area of ABCD= 1/2*9 * 42 + 1/2 * 8 * 42

= 189+168=357 square meters.

Check Out: __Area Of A Trapezium Formula__

__How to find Area Of Cyclic Quadrilateral__

Area Of Quadrilateral Formula is provided below:

The area of a cyclic quadrilateral =√(s−a)(s−b)(s−c)(s−d)

__For Example__:

In a circular grassy plot, a quadrilateral shape with its corners touching the boundary of the plot is to be paved with bricks. Find the area of the quadrilateral when the sides of the quadrilateral are 36 m, 77 m, 75 m and 40 m.

__Solution__:

Given that the sides of the quadrilateral are a=36m, b=77m, c=75m and d=40m

S = a+b+c+d/2

S= 36+77+75+40/2

S = 228/2

S = 114 m

The area of the cyclic quadrilateral =√(s−a)(s−b)(s−c)(s−d)

The area of the cyclic quadrilateral = √(114−36)(114−77)(114−75)(114−40)

The area of the cyclic quadrilateral =√78×37×39×74

=39×37×2=2886 square meters.

Read Here: __Ways to Improve Math Skills__

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