Question

The parallel sides of trapezium are 12 and 8 and the distance between them is 6 .find the area of trapezium​

Answer 1

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$\textbf\blue{\underline{\underline{Step-By-Step\:Explanation:-}}}$

In a trapezium,

Parallel sides are 12 cm and 8  cm.

It is stated that the distance between parallel sides is 6 cm.

∵ Distance between parallel sides of trapezium = height

Also,

→ Area of trapezium

$\sf =\dfrac{1}{2}\times(sum\:of\:parallel\:sides)\:\times{height}$

→ Substitute the given values in the formula :-

we get,

$\sf =\dfrac{1}{2}\times\:(12+8)\times{6}$

$\sf =\dfrac{1}{2}\times\:{20}\times{6}$

$\sf =\dfrac{120}{2}$

$\sf =\cancel{\dfrac{120}{2}}$

$\sf =60$

Therefore,

Area of the given trapezium is 60 cm².

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Answer 2

Answer:

refer to the above attachment for the solution