# 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.

Formula Area  = ½ × (a + b) × h

## 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 