This document discusses how to calculate the area of a trapezium. It defines a trapezium as a quadrilateral with one pair of opposite sides parallel. It explains that to find the area, the trapezium can be divided into a parallelogram and triangle. The formula given is that the area is equal to half the product of the sum of the parallel sides and the distance between them.

3. NAME :AKHILA V V
OPTION :MATHEMATICS
CANDIDATE CODE :18014376002

5. TRAPEZIUM
 It is a quadrilateral
 A pair of opposite sides are parallel

6. How can we find the
area of a trapezium

7. Draw a trapezium ABCD

8. Draw a line CE parallel to AD in
ABCD

9. Area of trapezium = area of parallogram ABCD + area of
triangle BEC
Trapezium is divided into a parallogram and a
triangle

10. Area of trapezium ABCD
= Area of parallelogram AECD + Area of triangle
BCE
= (a*h) + ½* (b-a) * h
= a*h + ½ * b*h – ½ * a*h
= ½ *a*h + ½ * b* h
= ½ *h*(a+b)

11. AREA OF TRAPEZIUM
The area of trapezium is half the product of the sum of its
parallel sides and the distance between them

12. Where a,b – length of parallel sides
h - distance between parallel sides