# Trapezium Calculator

A Trapezium is a quadrilateral with one pair of parallel sides. In cases, it is also defined as a plane figure with four sides, no of two which are parallel.

Table of Contents:

**Formula**

**Area of Trapezium** = ½×(a + b)×h

**where**,

a, b = sides, h = height

**Perimeter of Trapezium (trapezoid calc: find p)** = a + b + c + d

**where**,

a, b, c, d = sides

A Trapezium is a four-sided polygon with two non-adjacent parallel sides or one set of parallel sides.

** Examples:** how to work out the area of a trapezium?

__Case 1__: Find the area of a trapezium using the sides length as 4,5 and the height 2.

** Step 1:** Find the area.

Area = ½ * (a+ b) * h = ½ * (4 + 5) * 2 = ½ * 9 * 2 =

**9**.

__Case 2__: Find the perimeter of a trapezium using the sides length as 4,5,6,7

** Step 1:** Find the perimeter.

Perimeter = a + b + c + d = 4+5+6+7 = **22**.

To find the side following calculation will be used (trapezoid calc: find c):

**c =P - a - b - d**

For Height:

trapezoid calc: find h, a=*n/a*, b=*n/a*, a=*n/a*

h=2*(A/(a+b))

For base a

trapezoid calc: find a, b=*n/a*, h=*n/a*, a=*n/a*

For base b

find b, a=*n/a*, h=*n/a*, a=*n/a*

Where: *n/a* is marked as **NULL**