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

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ConceptArea of Trapezium

#### Question

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 Solution for Mathematics for Class 8 by R D Sharma (2019-2020 Session) (2017 to Current)
Chapter 20: Mensuration - I (Area of a Trapezium and a Polygon)
Ex. 20.2 | Q: 8 | Page no. 22

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Solution The Area of a Trapezium is 960 Cm2. If the Parallel Sides Are 34 Cm and 46 Cm, Find the Distance Between Them. Concept: Area of Trapezium.
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