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Course / Category - Foundation program for Railways

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Railways & Metro Services

Foundation program for Railways

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Railways & Metro Services

Foundation program for Railways

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Current Affair, Maths, English, Verbal Reasoning, Non Verbal Reasoning, General Awareness, Critical Reasoning, Verbal Ability, Vedic Maths, General Knowledge

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Maths / Mensuration / Area of Trapezium

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Area of Trapezium

Area of a Trapezium :

A trapezium is a quadrilateral whose two sides are parallel. In the figure, AB and CD are its two parallel sides while AD and BC are its non-parallel sides.

Base : Each of the two parallel sides of a trapezium is called a base of the trapezium.

Area of a trapezium is computed with the following formula:

$Area= frac{1}{2}times(Sum;of;Parallel;sides)times Height$

Illustration: The area of a trapezium shaped field is 480 $large ^{m^{2}}$ , the height is 15 m and one of the parallel side is 20 m. Find the other side.

Solution: We have, Area of trapezium ABCD = 480 $large ^{m^{2}}$

$Rightarrow frac{1}{2}(AB+CD)times AL = 480$

$Rightarrow frac{1}{2}(20+CD)times 15 = 480$

$Rightarrow 20+CD=frac{480times 2}{15}$

20 + CD = 64: CD = 64 - 20 = 44m

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