The area of general Quadrilateral is (sum of parallel sides )x height true or false
Answers
Area of the quadrilateral is the region enclosed by the four sides of this polygon. The general formula of the area of a quadrilateral is base * height, also written as b*h and the unit of measurement is m2. There are two types of quadrilaterals - regular and irregular. On this page, you will learn how to find the area of any type of quadrilateral, be it a square or a trapezium. Let’s first understand what is an area, so that you can understand the concept of the area of the Quadrilateral. You will learn the following topics on this page.
Definition of area of a quadrilateral
Types of quadrilateral
How to calculate the area of a quadrilateral?
Properties of a quadrilateral
Formulas of area of different types of quadrilateral
Solved examples of area of a quadrilateral
Practice Questions
Definition of Area of Quadrilateral
An area is defined as any region which is included in a particular boundary or figure. If that figure has four sides, the region inside these four sides will be called an area of a quadrilateral. The area of a quadrilateral is measured in square units. The standard unit for measuring an area is mainly square metres, also written as m2.
Area of Different Types of Quadrilateral
As explained in the above paragraph, any polygon having four sides is a quadrilateral, so we have many types of quadrilaterals. Some of them are:
Square
Rectangle
Parallelogram
Kite
Rhombus
Trapezium
How to Calculate the Area of a Quadrilateral?
Step 1: Construct a diagonal PR that will join the opposite vertices of the quadrilateral PQRS.
Step 2: From each of these vertices, draw a perpendicular on the diagonal PR.
Step 3: Area of the quadrilateral PQRS = Area of △PQR + Area of △PRS
Therefore, area of quadrilateral PQRS = ( ½ * PR * PT) + (½ * PR * RU), where T and U are the perpendiculars from the vertices P and R on the diagonal.
What are the Properties of a Quadrilateral?
Let’s learn the basic properties of a quadrilateral.
Every quadrilateral has four vertices, four sides, and four angles.
The sum of all the interior angles of a quadrilateral is always 360 degrees.
The lengths of all the four sides of a quadrilateral may or may not be equal. For example, the sides of a square are equal but all the four sides of a trapezium are not equal.
Area Formulas of Different Types of Quadrilaterals
As the lengths of the four sides of a quadrilateral may or may not be equal, the formulas to find their areas are also different. Let us learn the formulas to find the area of all the types of quadrilateral in a tabular form.
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