In this page area of trapezium we are going to see the formula to find area of parallelogram also we are going to see example problems to understand this topic.

**Definition of trapezium:**

The definition of trapezium is entirely different in both US and UK.

- In US a quadrilateral which is having no parallel sides is called trapezium.
- But in UK a quadrilateral which is having one pair of parallel sides is called trapezium.

**Definition of trapezoid:**

- In UK a quadrilateral which is having no parallel sides is called trapezoid.
- But in US a quadrilateral which is having one pair of parallel sides is called trapezoid.

**Formula to find area of trapezoid:**

**Area = (1/2) (a + b) x h**

Now we are going to see some examples to understand this topic.

**Example 1:**

Find the area of the trapezium ABCD given in the below figure.

**Solution:**

**Area of trapezium = (1/2) (a + b) x h**

a = 5 cm , b = 12 cm and h = 4 cm

= (1/2) (5 + 12 ) x 4

= (1/2) x (17) x 4

= 17 x 2

= 34 cm²

**Example 2:**

In
a trapezium the measurement of one parallel side two more than the
other parallel side and the height is 4 cm. The area of the trapezium is
64 cm². Find the two parallel sides.

**Solution:**

Area of the trapezium = 64 cm²

Let the two parallel sides be "a" and "b"

One parallel side is two more than the other parallel side. So we can assume b as a + 2

**Area of a trapezium = (1/2) (a + b) x h**

(1/2) (a + b) x h = 64

(1/2) (a + a + 2) x 4 = 64

(1/2) (2a + 2) x 4 = 64

2 (2a + 2) = 64

2a + 2 = 64/2

2a + 2 = 32

2a = 32 - 2

2a = 30

a = 30/2

a = 15 cm

b = a + 2

b = 15 + 2

b = 17 cm

Therefore the two parallel sides are 15cm and 17 cm.

**Related Topics**

**Perimeter of sector****practice questions with solution****Length of arc****Practice questions on length of arc****Perimeter of square****Perimeter of parallelogram****Perimeter of rectangle****Perimeter of triangle****Area of a circle****Area of Semicircle****Area of Quadrant****Area of sector****Area of triangle****Area of equilateral triangle****Area of scalene triangle****Area of square****Area of rectangle****Area of parallelogram****Area of rhombus****Area of quadrilateral****Area around circle****Area of pathways****Area of combined shapes**

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