Area | Class 8 | Practice Set 15.3

Area | Class 8 | Practice Set 15.3

Area Class 8 Practice Set 15.3, the solution of all the examples is provided in the attached pdf file.

Practice-set-15.3

In all the examples of this practice set, we are asked to find the area of trapezium.

A quadrilateral whose only one pair of opposite sides is parallel that quadrilateral is called as a trapezium.

Also read : Area | Class 8 | Practice Set 15.1

The formula for calculating the area of the trapezium is,

Area of trapezium = 1/2 * sum of parallel sides * height

If quadrilateral ABCD is a trapezium and segment AB is parallel to segment CD then the above formula can also be written as,

Area of trapezium = 1/2 * (AB + CD) * AD

The formula for calculating the area of the trapezium can also be written as,

Area of trapezium = 1/2 * sum of parallel sides * distance between the parallel sides.

In one of the examples we are given an isosceles trapezium. The isosceles trapezium is the one whose non parallel sides are congruent. In the same example we are also required to show the congruence of two triangles.

Also read : Area | Class 8 | Practice Set 15.2

The examples solved in this article are given below,

1. In quadrilateral ABCD, length of segment AB = 13 cm, length of segment CD = 9 cm, length of segment AD = 8 cm, find the area of quadrilateral ABCD.
2. Length of the two parallel sides of a trapezium are 8.5 cm and 11.5 cm respectively and its height is 4.2 cm, find its area.
3. PQRS is an isosceles trapezium, length of segment PQ = 7 cm. segment PM perpendicular segment SR, length of segment SM = 3 cm, Distance between two parallel sides is 4 cm, find the area of quadrilateral PQRS.