# The Area of a Trapezium is 960 Cm2. If the Parallel Sides Are 34 Cm and 46 Cm, Find the Distance Between Them. - Mathematics

Sum

The area of a trapezium is 960 cm2. If the parallel sides are 34 cm and 46 cm, find the distance between them.

#### Solution

Given:
Area of the trapezium = 960 cm2
And the length of the parallel sides are 34 cm and 46 cm.
Area of trapezium $=\frac{1}{2}\times(\text{ Sum of the parallel sides })\times(\text{ Perpendicular distance between the parallel sides })$
$\Rightarrow 960 =\frac{1}{2}\times(34+46)\times(\text{ Height })$
$\Rightarrow 960 = 40\times(\text{ Height })$
$\Rightarrow\text{ Height }=\frac{960}{40}= 24 cm$

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#### APPEARS IN

RD Sharma Class 8 Maths
Chapter 20 Mensuration - I (Area of a Trapezium and a Polygon)
Exercise 20.2 | Q 8 | Page 22