Question

The area of trapezium is 540m2. Two of its parallel sides are 40m & 32m . Find the distance between the two parallel sides

Answer 1

$\bf{\huge {\underline {\boxed {\sf\orange {Answer : 15 m}}}}}$

$\textbf {\underline {\underline {Step\:- by\: - Step\: Explanation\:}}}$

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$\huge\sf\green {Given :}$

▪ Area of Trapezium = 540 ${m}^2$

▪ Two parallel sides = 40 m & 32 m

$\huge\sf\green {To\:Find} :$

➡ Distance between them.

Distance = height of the Trapezium.

Let height be ' H ' metre.

$\huge\sf\green {Solution :}$

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

$\implies {540}$=$\dfrac {1}{2} ( 40 + 32 ) × H$

$\implies {540}$ = $\dfrac {1}{2} ( 72 ) × H$

$\implies {540}$ = 36 × H

$\implies H = \dfrac {540}{36}$

$\implies H = 15 m$

$\therefore$ The distance between the given two parallel sides is 15 m

$\huge\mathscr\red {Be\:Brainly!!!}$