AREA OF TRAPEZIUM

HELLO, WELCOME BACK TO CLASS

 

A trapezium is a Four-sided figure with one pair of its Opposite sides parallel. A trapezium is a quadrilateral that has only one pair of parallel sides.

M

Examples; Consider the area of the following trapezium.

To calculate the area of a trapezium, divide it into a rectangle and two triangles as shown below.

Now, piece together the triangular ends so that the trapezium is divided into a triangle and rectangle.  The base of the triangle is the difference between the lengths of two parallel sides.  That is, a – b.

Area of trapezium = area of triangle + area of rectangle

Or.   A. =  ( a+b)  x h

2

Example;

Find the area of the following trapezium.

a = 20.  b = 14, h = 12

 

A = a+b/2 x h

= 20 + 14 x 12

2

= 34/2 x 12

= 17 x 12 = 204cm2

 

EVALUATION

  1. . ABCD is a trapezium in which AB ∥ CD, AD ⊥ DC, AB = 20 cm, BC = 13 cm and DC = 25 cm. Find the area of the trapezium.
  1. The area of a trapezium is 165 cm² and its height is 10 cm. If one of the parallel sides is double of the other, find the two parallel sides.
  2. . Find the area of a trapezium whose parallel sides are 24 cm and 20 cm and the distance between them is 15 cm.
  3. The area of a trapezium is 1080 cm². If the lengths of its parallel sides are 55.6 cm and 34.4 cm, find the distance between them
  4. . Find the area of a trapezium whose parallel sides are 24 cm and 20 cm and the distance between them is 15 cm.
For more class notes, homework help, exam practice, download our App HERE

Join ClassNotes.ng Telegram Community for exclusive content and support HERE

Don`t copy text!