Question

Formula for area of trapezium is:

Answer 1

Hint: Trapezium is a Quadrilateral, which is defined as a shape with four sites and one set of parallel sides. Apart from Trapezium, there are four types of Quadrilaterals.

Complete step-by-step solution:
Trapezium basic concept
>The pair of parallel sides is called the bases while the non-parallel sides are called the legs of the trapezium.
>The line segment connecting the mid points of the non-parallel sides of a trapezium is called the mid-segment which falls under the category of quadrilaterals.

 Perimeter of the Trapezium is given by the
Perimeter \[ = sum\,of\,all\,side\]
\[ = AB + BC + CD + DA\]
Different Type of the Trapezium
(i) Isosceles Trapezium: The legs or the non-parallel sides of the Trapezium are of equal length.
(ii) Scalene Trapezium: A trapezium with all sides and angles of different measures.
(iii) Right Trapezium: A right trapezium has at least the right angle.

Area of Trapezium \[ = \dfrac{1}{2} \times h \times (AB + CD)\] Or \[ = \dfrac{1}{2} \times (Dis\tan ce\,\,between\,two\,sides) \times (Sum\,of\,parallel\,sides)\]

Note:Perimeter of the Trapezium is given by the
Perimeter \[ = sum\,of\,all\,side\]
\[ = AB + BC + CD + DA\]
Different Type of the Trapezium
(i) Isosceles Trapezium: The legs or the non-parallel sides of the Trapezium are of equal length.
(ii) Scalene Trapezium: A trapezium with all sides and angles of different measures.
(iii) Right Trapezium: A right trapezium has at least the right angle.
A trapezoid is a square, if both the pairs of its sides are parallel, all its sides are of the equal length and at right angles to each other.
It can be the Rectangle, if the both pairs of its opposite’s sides are parallel, its opposite sides are at the right angle to each other.