Question

The parallel sides of a trapezium are 25cm and 35cm. If the area of the trapezium is 540cm2, find the distance between the two parallel sides

Answer 1

AnSwEr

${\tt{\red{\underline{Given}}}}$

• A trapezium of // side 25cm and 35cm
• Area of trap =540cm²

${\sf{\green{\underline{To\:find}}}}$

• Distance between // side
• or also known as height

${\sf{\pink{\underline{Explanation}}}}$

$\boxed{\boxed{\sf\red{Area\:0f\:Trapezium=\frac{1}{2}\times{sum\:of\:its\: parallel\:Side}\times{Height}}}}$

Putting the value

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$\rightarrow{\sf\red{540=\frac{1}{2}\times{25+35}\times{Height}}}$

$\rightarrow{\sf\red{540=\frac{1}{2}\times{60}\times{H}}}$

$\rightarrow{\sf\red{540={30}\times{H}}}$

$\therefore{\sf\red{\cancel{\frac{540}{30}}={H}}}$

$\therefore{\sf\red{H={18}}}$

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Hence,value of its height is 18