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Area of Trapezium - Teachoo.jpg

A trapezium is a quadrilateral with one pair of opposite

sides parallel

So, in trapezium ABCD

    AB ∥ CD

4.jpg

 

Area of trapezium is

Area of Trapezium - Part 2

Area of trapezium = 1/2 × Sum of parallel sides × Height

              = 1/2 × (a + b) × h

 

Here,

Height is perpendicular distance between two parallel lines

 

Find area of trapezium

Area of Trapezium - Part 3

 

Here,

Parallel sides are 4 cm and 6 cm

and height is 3 cm

 

So, a = 4 cm, b = 6 cm and h = 3 cm

 

  Area of trapezium = 1/2 (a + b) × h

        = 1/2 × (6 + 4) × 3

        = 1/2 × 10 × 3

        = 5 × 3 = 15 cm 2

 

Find height of trapezium if parallel sides are 4 cm and 6 cm and area of trapezium is 15 cm 2

Area of Trapezium - Part 4

Here,

parallel sides are 4 cm and 6 cm

So, a = 4 cm, b = 4 cm

 

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

             15 = 1/2 × (6 + 4) × h

     15 = 1/2 × 10 × h

     15 = 5h

  15/5 = h

      h = 3 cm

 

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Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 12 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.